Research
| S.No | Name | Research | |
|---|---|---|---|
| 1 | Staff Research | Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral Solutions of Ternary Quadratic Equation X2+Y2=Z2 -4”, International Journal of Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17, https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume 12, Issue 1, January 2022 Page No:401-406. |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 2 | Staff Research | Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 3 | Staff Research | Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 4 | Staff Research | Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 5 | Staff Research | Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 6 | Staff Research | Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 7 | Staff Research | Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 8 | Staff Research | Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 9 | Staff Research | Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 10 | Staff Research | Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 11 | Staff Research | . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 12 | Staff Research | Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 13 | Staff Research | Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 14 | Staff Research | Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
| 15 | Staff Research | Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Observations on the Paper Entitled, Integral
Solutions of Ternary Quadratic Equation X2+Y2=Z2
-4”, International Journal of
Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17,
https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume
12, Issue 1, January 2022 Page No:401-406.
Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Homogeneous Quadratic equation with three unknowns z2=6x2 -2y2 ”, International Journal of Enhanced Research in Science, Technology & Engineering, UGC Care, Impact Factor:7.957, http://www.erpublications.com/ ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No-31-37. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “Remarks on the paper entitled “On Interesting Integer Triple””, International Journal of All Research Education and Scientific Methods (IJARESM),UGC Care, Google Scholar, Peer Reviewed journal, Impact Factor:7.429, www.ijaresm.com , ISSN NO:2455-6211, Volume 09, Issue 12, December 2021, Page No:1880-1882. Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous cone z2=74x2+y2 ”, International Journal of Research Publications and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com, ISSN NO:2582-7421, Volume 03, No.1, January 2022, Page No:555-563. Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x 3+y3=52(x+y)z2 ”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. Dr.V.Praba, “Equivalence Colouring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70 Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2 )-3xy=43z2 ”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561- 25564 Dr.N.Umamaheshwari, “Stochastic Modeling for using A Cross Cultural Analysis of Salivary Cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science (IJRES),Google Scholar, Impact Factor:3.541, www.ijres.org , ISSN (Online):2320-9364, ISSN (Print):2320-9356, Volume 10, Issue 2, 2021, Page No.27-36. Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3 ”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972- 3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. Dr.J.Shanthi, Ms.T.Mahalakshmi, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the homogeneous cone z2=14x2+y2 , Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. . Dr.V.Praba, “ss-Excellence in Graphs”, South East Asian J. of Mathematics and Mathematical Science, ISSN NO (Online):2582-0850, ISSN (Print) : 0972-7752, , UGC CARE, http://rsmams.org/download/articles/2_17_3_688893991_EXCELLENCE%20IN%20 GRAPHS_split_1.pdf Volume 17 No.3, 2021, Page No.299-312. Dr.N.Umamaheshwari, Ms.V.Bahavathi, “Observations on the Integer solutions of the positive pell equation y2=15x2+21”, International Journal of Research Publication and Reviews, Google Scholar, Impact Factor:5.536, www.ijrpr.com , ISSN NO:2582- 7421, Volume 03, No.2, February 2022, Page No.219-234 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On Homogeneous Quadratic with five unknowns 10w2 -x 2 -y 2+z2=t2 ”, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022 Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, “On the Homogeneous Cone z2=(10k2 - 10k+14)x2+y2 ”, International research journal of Education and Technology, Google Scholar, Impact Factor:7.429 , https://www.irjweb.com/ , ISSN NO:2581-7795, volume 04, Issue 02, February 2022, Page No. 01-10. Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Dr.M.A.Gopalan, “Observation on the paper entitled Integral solution of the Homogeneous ternary cubic equation x 3+y3=52(x+y)z2 ”, International journal of Multidisciplinary research (IJMR), Peer Reviewed Journal, Impact Factor : 8.047, https://eprajournals.com/IJMR/article/6653/abstract , ISSN NO:2455-3662, Volume 8, Issue 2, February 2022 Page No.266-273. |
Staff Achievements
| S.no | Staff Achievements |
|---|---|
| 1 | Book Publication in Chapter: 1. Prof. M.A.Gopalan, Dr.J.Shanthi, Published a chapter on “On the Ternary Quadratic Diophantine Equation” in the Research Trends in Mathematical and Statistics, Volume 11, ISBN – 978 – 93- 91216 – 81 -8, Akinik Publications on July 2021. |
| 2 | 2. G.Dhanalakshmi and Prof. M.A.Gopalan published a chapter on “On homogeneous Ternary Quadratic Diophantine equation 4x2-7xy+4y2=24z2, Research Trends in Mathematical and Statistics, Volume 15, 978-93-5570-102-2, Akinik Publications, page no. 01-18, 2021. |
| 3 | 3. Dr.K.Meena, Dr.S.Vidhyalakshmi and Prof.M.A.Gopalan published a chapter on “On Ternary quadratic Diophantine equation 4(x2+y2)-7xy = 54z2”, Research Trends in Mathematics and Statistics, Volume 15, ISBN: 978 – 93 – 5570 – 102 – 2, Akinik Publications, Page no. 73-86, 2021. |
| 4 | 4. B.Loganayaki, M.Phil Scholar and Prof.M.A.Gopalan Published a chapter on “Observation on the integer solution of the pell – like equation 11x2-3y2=24, “Research Trends in Mathematical and Statistics, Volume 15, ISBN:978-93-5570-102-2, Akinik publications, Page no. 87-106, 2021. |
| 5 | Dr.K.Meena, Dr.S.Vidhyalakshmi and Prof.M.A.Gopalan Published the following: 1. On the Negative Pell Equation y2=10x2-9”, International Journal of Research Publication and Reviews , www.ijrpr.com , Google Scholar, Impact Factor:5.536, ISSN NO:2582-7421, Volume 2, Issue 10, Page No:1131-1143, October 2021. |
| 6 | 2. “On the Surd Equation (a≠0)”, International journal of Modern Developments in Engineering and science, https://www.ijmdes.com , UGC Care, Impact Factor: 3.947, Volume 1, Issue 2, Page No:1-2, November 2021. |
| 7 | 3. “On the Surd Equation ”, International Journal of creative Research Thoughts, www.ijcrt.org , UGC Approved Journal, Impact Factor:7.97, ISSN NO:2320-2882, Volume 9, Issue 11, Page No:183-187, November 2021. |
| 8 | 4. “On the Negative Pell Equation y2=3x2-2”, International Research Journal of Education and Technology, www.irjweb.com, Google Scholar, Impact Factor:7.429, ISSN NO:2581-7795, Volume 3, Issue 2, Page No:1-10, November 2021. |
| 9 | 5. “Observations on the Surd Equations =+ (m≠0)” International Research journal of Education and Technology, www.irjweb.com , Google Scholar , Impact Factor:7.429 ISSN NO:2581-7795, Volume 3, Issue 3, Page No:24-28, November 2021. |
| 10 | Dr.S.Vidhyalakshmi and Prof.M.A.Gopalan Published the following: 1. On the transcendental equation , International journal of advanced multidisciplinary research and studies, Volume 1, Issue 3, Page no. 41-44, November 2021. |
| 11 | 2. “Observations on the Surd Equations =+ (m≠0)”, International journal of Research publication and reviews, www.ijrp.com, Google Scholar, Impact factor:5.536, ISSN NO:2582-7421, Page No:437-441, Volume 2, No.11, November 2021. |
| 12 | 3. On the non – homogeneous ternary cubic equation 3(x2+y2)-2xy+4(x+y)+4=51z3, International journal of Multidisciplinary Research and Growth Evaluation, Google Scholar, ISSN NO:2582-7138, Volume 2, Issue 6, November – December 2021. |
| 13 | 4. “Observation on 2y2+xy=z2”, International Journal of Research Publication and Reviews, www.ijrpr.com , Google Scholar, Impact Factor:5.536, ISSN NO:2582-7421,Volume 2, No 12, Page No:356-359, December 2021. |
| 14 | 5. On interesting integer triple, International journal of all research education and scientific methods (IJARESM), Volume 9, Issue 12, Page no. 1880-1882, December 2021. |
| 15 | 6. Observations on the Paper Entitled, Integral Solutions of Ternary Quadratic Equation X2+Y2=Z2-4”, International Journal of Current Science (IJCSPUB),UGC Care, Peer-reviewed Journal, Impact Factor:8.17, https://journals.indexcopernicus.com/journal/33084 ISSN NO:2250-1770, Volume 12, Issue 1, January 2022 Page No:401-406. |
| 16 | 7. On Homogeneous Quadratic with five unknowns 10w2-x2-y2+z2=t2, International Journal of Research and Analytical Reviews (IJRAR), UGC Approved Journal, Peer Reviewed Journal, Impact Factor:7.731, www.ijrar.org , E-ISSN NO:2348-1269, P-ISSN NO:2349-5138, Volume 9, Issue 1, February 2022, |
| 17 | Dr.S.Vidhyalakshmi, Dr.J.Shanthi, Head and prof.M.A.Gopalan Published the following 1. “On the non-homogeneous cubic Diophantine equation with four unknowns x2+y2+4((2k2-2k)2z2-4-w2)=(2k2-2k+1)xyz”, International journal of mathematical and computing techiques, www.mathsjournal.org , Google Scholar, Impact Factor:3.963, ISSN NO:2455-7994, Volume 4, Issue 3, Page No:01-05, June 2021. |
| 18 | 2. “On Homogeneous cubic equations with four unknowns x3-y3=4(w3-z3)+6(x-y)3 “, International journal of Enginnering Technology Research and Management, http://ijetrm.com/ Google Scholar, Impact Factor:5.004, ISSN NO:2456-9348, Volume 5, Issue 7, Page No:180-186, Page No:63-66, July 2021. |
| 19 | 3. “On the Ternary quadratic Diophantine Equation x2+3y2=19z2”, International Journal of Research publication and reviews, www.ijrpr.com , Google Scholar, Impact Factor:5.536, ISSN NO:2582-7421, Volume 2, Issue 8, Page No:69-76, 2021. |
| 20 | 4. “Observation on the Non-Homogeneous Biquadratic Equation with five unknowns (x4-y4)=10(z+w)p2”, Vidyabharati International Interdisciplinary Research Journal, www.viirj.org , UGC Care, Impact Factor:1.469, ISSN NO:2319-4979, Special Issue on Recent Research Trends in Management, Science and Technology, Page No:1048-1053, August 2021. |
| 21 | Dr.S.Vidhyalakshmi, Ms.T.Mahalakshmi, Assistant Professor, and prof.M.A.Gopalan published the following, 1. “A Search for integral solutions to the ternary bi-quadratic equation x4+x3y+x2y2+xy3+y4=(x+y)2+1+z2”, Turkish Journal of computer and Mathematical Education, https://doi.org/10.17762/turcomat.v12i7.2608 , Scopus, Google Scholar, Impact Factor:0.33, ISSN NO:1309-4653, Volume 12, Issue 7, Page No:484-495, 2021. |
| 22 | 1. On homogeneous cubic equation with four unknowns (x3+y3)=7zw2, Stochastic Modeling and Applications, Special Issue on Innovation research management, applied science and engineering, Volume 25, No.3, July - December 2021. |
| 23 | Dr.J.Shanthi, Dr.M.A.Gopalan, “On the Bi-Quadratic Diophantine Equation with four Unknowns xy(x+y)=3zw3”, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588,https://www.mukpublications.com/ ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021 Part-3, December 2021, Page No.2007-2010. |
| 24 | Dr.J.Shanthi, Ms.T.Mahalakshmi, Assistant Professors, Dr.S.Vidhyalakshmi and Prof.M.A.Gopalan published the following 1. A Study on the pell like equation 3x2-8y2=-20, Vidyabharathi International Interdisciplinary Research journal, www.viirj.org , UGC Care, Impact Factor:1.469, ISSN NO:2319-4979, Special Issue on Recent Research Trends in Management, Science and Technology, Page No:2137-2144, August 2021 |
| 25 | 2. “On the Homogeneous cone z2=14x2+y2”, Vidyabharathi International Interdisciplinary Research Journal, www.viirj.org , UGC Care, Impact Factor:1.469, ISSN NO:2319-4979, Special Issue on Recent Research Trends in Management, Science and Technology, Page No:2151-2156, August 2021. |
| 26 | 3. “On the homogeneous cone z2=14x2+y2, Stochastic Modeling & Applications, UGC Approved Journal, Impact Factor:0.588, https://www.mukpublications.com/ , ISSN NO:0972-3641, Volume 25, No.3, (July-December), Special Issue 2021, Part-3, December 2021, Page No.2021-2029. |
| 27 | Dr.S.Vidhyalakshmi, Ms.T.Mahalakshmi, Ms.V.Anbuvalli, Assistant Professor and Prof M.A.Gopalan, Published a paper on “On Non – homogeneous quintic equation with five unknowns 3(x4-y4)=4(z2-w2)T3”, Vidyabharati International Interdisciplinary Research Journal, www.viirj.org , UGC Care, Impact Factor:1.469, ISSN NO:2319-4979, Special Issue on Recent Research Trends in Management, Science and Technology, Page No:1969-1972, August 2021 |
| 28 | Dr.V.Praba, “Integral solution of the Homogeneous Ternary cubic equation x3+y3=52(x+y)z2”, An International Peer Reviewed Journal of Physical Science, Acta Ciencia Indica, Volume XLVII-M, No.1 to 4, 49 September 2021 Page No:49-56. |
| 29 | Ms.D.Maheshwari, Asst.Professor and Prof.M.A.Gopalan, “Observations on the Negative Pell Equation y2=10x2-54”, Turkish Online journal of Qualitative Inquiry (TOJQI), https://tojqi.net , Scopus, ISSN NO:1309-6591, Volume12, Issue 7, Page No:6311-6321, July 2021. |
| 30 | Dr.S.Vidhyalakshmi, Dr.N.Uma Maheshwari, Ms.M.Revathi, Dr.M.A.Gopalan, “On Finding Integer solutions to the ternary quadratic Diophantine equation 2(x2+y2)-3xy=43z2”, International Journal of Current Advanced Research, Scopus, Google Scholar, Impact Factor:6.614, www.journalijcar , ISSN NO:O:2319-6475, ISSN NO:P:2319-6505, Volume 10, Issue 11(A), November 2021, Page No:25561-25564 |
| 31 | Dr.V.Praba, Asst.Professor Published the following, 1. Equivalence Coloring of Graphs”, International Academy of Sciences, Engineering and Technology, Web of Science, Impact Factor:3.58, https://www.iaset.us/ ISSN NO (P):2319-3972, ISSN NO(E):2319-3980, Volume 10, Issue 2, July – December 2021, Page No.65-70. 2. Excellence in Graphs, International journal of Applied Mathematics and Statistical Sciences (IJAMSS), Volume 10, Issue 2, Page No.49-56, July - December 2021. |
| 32 | Paper Presented in Conference: 1. Ms.D.Maheshwari, Participated and presented a paper on “Observations on the Negative pell equation” organized by Indian Academicians and Researchers Association (IARA) August 2021. |
| 33 | 2. Prof.M.A.Gopalan, Presented a paper on “A study on special homogeneous cone” in the international conference on “Multidisciplinary research towards sustainable development” organized by Indian Academicians and Researchers Association (IARA) October 2021. |
| 34 | 3. Prof.M.A.Gopalan, Presented a papter on “Formulation of Pythagorean Triangle with property” in the International conference on “Multidisciplinary research towards sustainable development” organized Indian Academicians and Research Association (IARA) October 2021. |
| 35 | 4. Prof.M.A.Gopalan, Dr.S.Vidhyalakshmi, Ms.T.Mahalakshmi, and Ms.V.Anbuvalli, Participated and presented a paper on “On Non homogeneous Quintic equation with five unknowns” in the International Conference on “Multidisciplinary Research towards sustainable development” organized by Indian Academicians and Research Association (IARA) October 2021. |
| 36 | 4. Prof.M.A.Gopalan, Dr.S.Vidhyalakshmi, Ms.T.Mahalakshmi, and Ms.V.Anbuvalli, Participated and presented a paper on “On Non homogeneous Quintic equation with five unknowns” in the International Conference on “Multidisciplinary Research towards sustainable development” organized by Indian Academicians and Research Association (IARA) October 2021. |
| 37 | 5. Dr.J.Shanthi, Participated and presented a paper on “Formulation of pythagorean triangle sustainable product” in the International conference on “Formulation of Pythagorean Triangle with property” in the International conference on “ Multidisciplinary Research towards sustainable Development” organized by Indian Academicians and Research Associations (IARA) October 2021. |
| 38 | 6. Dr.V.Praba, acted as Resource Person for taking the two day training programme on “Statistical Techniques” for the executives of Tamil Nadu Newsprint and Papers Limited on 18.04.2022 and 19.02.2022 |
| 39 | Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan Published a Paper on the topic “Homogeneous Quadratic Equation with three unknowns z2=6x2-2y2”, International Journal of Enhanced Research in Sciences, Technology & Engineering ISSN NO:2319-7463, Volume 10, Issue 12, December 2021, Page No:31-37. |
| 40 | Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, Published a Paper on the topic Remarks on the Paper entitled “On Interesting Integer triple” International Journal of All Research Education and Scientific Methods (IJARESM), ISSN NO:2455-6211, Volume 9, Issue 12, December 2021, Page No:1880-1882. |
| 41 | Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan Published a Paper on the topic “On the Homogeneous Cone z2=74x2+y2”, International Journal of Research Publication and Reviews, ISSN NO:2582-7421, Volume 3, No.1, January 2022, Page No:555-563. |
| 42 | Dr.S.Vidhyalakshmi, Dr.N.Uma Maheswari, Ms.M.Revathi, Dr.M.A.Gopalan, Published a Paper on the topic “On finding integer solutions to the ternary quadratic Diophantine equation 2(x2+y2)-3xy=43z2”, International Journal of Current Advanced Research, ISSN No:2319-6475, ISSN No: (P):2319-6505, Volume 10, Issue 11 (A), November 2021, Page No:25057- 25060. |
| 43 | Dr.V.Praba Published a paper on the topic “Equivalence Coloring of Graphs”, International Journal of Applied Mathematics and Statistical Sciences (IJAMSS) ISSN(P):2319-3972, ISSN (E):2319-3980, Volume 10, Issue 2, July-December - 2021, Page No:65-70. |
| 44 | Dr.V.Praba attended the National Webinar on NEP 2020 : Reforming Higher Education for Faculty and Research Scholars, organized by the Department of English and other Foreign Languages, SRM Institute of Science and Technology, Ramapuram Campus, Chennai-600089, on 4th June2021 |
| 45 | Dr.V.Praba attended the NAAC Sponsored One-day Online Seminar on “Qualitative & Quantitative Metrics in RAAF of NAAC” conducted on 17-Sep-2021 , organized by Rajalakshmi Engineering College, Chennai. |
| 46 | Dr.V.Praba Participated in the International Virtual Conference on Application of Mathematics on 04. 09.2021, organized by the PG and Research Department of Mathematics and IQAC of Government Arts College, Tiruchirappalli -22. |
| 47 | Dr.V.Praba participated in Six days International Virtual FDP on “RECENT RESEARCH ADVANCES IN MATHEMATICS” organized by the Department of Mathematics in association with IQAC, St. Joseph’s College (Arts & Science), Kovur, Chennai. During 04.10.2021- 09.10.2021 in collaboration with DMI St.Eugene University, Lusaka, Zambia. |
| 48 | Dr.V.Praba participated in FDP on Math Modeling and Computational Modeling organized by the Department of Mathematics, CMR Institute of Technology, Bengaluru from 24th Jan 2022 to 28th Jan 2022. |
| 49 | Dr.V.Praba participated in a two-day online workshop on “ An Insight into Mathematical Modelling In Information and Communication Engineering -Version 2 “(MMICE – 2022) jointly organized by Department of Computer Science and Engineering & Department of Mathematics of Sri Sivasubramaniya Nadar College of Engineering , Chennai. during January 27-28, 2022. |
| 50 | Dr.S.Vidhyalakhmi, Dr.M.A.Gopalan Published a paper on the topic “On the Homogeneous Cone”, International Research Journal of Education and Technology, ISSN NO:2581-7795, Volume 04, Issue 02, February 2022 |
| 51 | Dr.N.Uma Maheswari, Published a Paper on the topic “Stochastic Modeling for using a Cross Cultural Analysis of salivary cortisol in Breast Cancer Survivors”, International Journal of Research in Engineering and Science, ISSN NO (Online) :2320-9364, ISSN NO (Print):2320-9356, Volume 10, Issue 2, 2022, Page No:27-36. |
| 52 | Ms.J.Kiruthika participated in the “ Three day National level workshop on MATLAB for Beginners” organized by Srimad Andavan Arts and science college Autonomous, Trichy from 28.07.2021-30.07.2021 |
| 53 | Dr.J.Shanthi participated in the FDP on Math Modeling and Computational Modeling organized by the Department of Mathematics, CMR Institute of Technology, Bengaluru from 24th Jan 2022 to 28th Jan 2022. |
| 54 | Dr.N.Umamaheswari participated in the FDP on Math Modeling and Computational Modeling organized by the Department of Mathematics, CMR Institute of Technology, Bengaluru from 24th Jan 2022 to 28th Jan 2022. |
| 55 | Ms.D.Maheswari participated in the FDP on Math Modelling and Computational Modelling organized by the Department of Mathematics, CMR Institute of Technology, Bengaluru from 24th Jan 2022 to 28th Jan 2022. |
| 56 | Ms.V.Anbuvalli participated in the FDP on Math Modelling and Computational Modelling organized by the Department of Mathematics, CMR Institute of Technology, Bengaluru from 24th Jan 2022 to 28th Jan 2022. |
| 57 | Ms.M.Revathi participated in the FDP on Math Modeling and Computational Modeling organized by the Department of Mathematics, CMR Institute of Technology, Bengaluru from 24th Jan 2022 to 28th Jan 2022. |
| 58 | Ms.R.Maheswari participated in the FDP on Math Modeling and Computational Modeling organized by the Department of Mathematics, CMR Institute of Technology, Bengaluru from 24th Jan 2022 to 28th Jan 2022. |
| 59 | Ms.T.Mahalakshmi participated in the FDP on Math Modeling and Computational Modeling organized by the Department of Mathematics, CMR Institute of Technology, Bengaluru from 24th Jan 2022 to 28th Jan 2022. |
| 60 | Ms.V.Bahavathi participated in the FDP on Math Modeling and Computational Modeling organized by the Department of Mathematics, CMR Institute of Technology, Bengaluru from 24th Jan 2022 to 28th Jan 2022. |
| 61 | Ms.J.Kiruthika participated in the FDP on Math Modeling and Computational Modeling organized by the Department of Mathematics, CMR Institute of Technology, Bengaluru from 24th Jan 2022 to 28th Jan 2022. |
| 62 | Dr. S. Vidhyalakshmi, Dr. M.A. Gopalan, Published a Journal Paper on the topic “On the Transcendental Equation”, in International Journal of Advanced Multidisciplinary Research and Studies, ISSN NO:2583-049X, Volume 01, Issue 03, Page No:41-44, November 2021. |
| 63 | Dr.J.Shanthi, Ms.T. Mahalakshmi, Dr. S. Vidhyalakshmi, Dr.M.A.Gopalan, Published a Journal Paper on the topic “On the Homogeneous Cone”, Stochastic Modeling & Applications, ISSN NO:0972-3641, Volume 25, No. 3, Special Issue , December 2021. |
| 64 | Dr. M.A. Gopalan contributed a chapter in a book on the topic “On Homogeneous Ternary Quadratic Diophantine Equation”, in Research Trends in Mathematics and Statistics by AkiNik Publications, ISBN NO:978-93-5570-102-2, in 2021. |
| 65 | Dr. K. Meena, Dr. S. Vidhyalakshmi, Dr.M.A.Gopalan, contributed a chapter in a book on the topic “On Ternary Quadratic Diophantine Equation”, in Research Trends in Mathematics and Statistics by AkiNik Publications, ISBN NO:978-93-5570-102-2, in 2021. |
| 66 | Dr.M.A.Gopalan contributed a chapter in a book on the topic “Observation on the Integer solution of the Pell-like Equation”, in Research Trends in Mathematics and Statistics by AkiNik Publications, ISBN NO:978-93-5570-102-2, in 2021. |
| 67 | Ms.D.Maheswari, Participated in International Conference and Presented a Paper on the topic “Integral solutions of cubic Diophantine equation with five unknowns X^3+Y^3=13(Z+W)P^3” in recognition of valuable contribution in the Heber International Conference on Applied Mathematics, Management, Computer Science and Statistics Organized by PG & Research Department of Mathematics Bishop Heber College (Autonomous) on 18.03.2022 |
| 68 | Dr.M.A.Gopalan, Contributed a Chapter in book on the topic “On Homogeneous Ternary Quadratic Diophantine Equation 4x^2−7xy+4y^2=24z^2” in Research Trends in Mathematics and Statistics in Akinik Publications , ISBN: 978-93-5570-102-2, 2021. |
| 69 | Dr.K.Meena, Dr.S.Vidhyalakshmi, Dr.M.A.Gopalan, Contributed a Chapter in book on the topic “On Ternary Quadratic Diophantine Equation 4(x^2+ y^2)−7xy=54z^2” in Research Trends in Mathematics and Statistics in Akinik Publications , ISBN: 978-93-5570-102-2, 2021. |
| 70 | Dr.M.A.Gopalan, Contributed a Chapter in book on the topic “Observation on the Integer Solution of the Pell - Like Equation” in Research Trends in Mathematics and Statistics in Akinik Publications 11x^2−3y^2=24, ISBN: 978-93-5570-102-2, 2021. |
| 71 | Department of Mathematics all Faculty members, has participated in the Six Days National Level Virtual Faculty Enrichment Program on “ALIGNING WITH THE NEW EDUCATIONAL ERA” conducted from 21.02.2022 - 26.02.2022. |
| 72 | Dr. V. Praba, has successfully participated in IP Awareness / Training program under NATIONAL INTELLECTUAL PROPERTY AWARENESS MISSION on April 26, 2022. |
| 73 | Dr. V. Praba has participated in Five Day National Online FDP on “Mathematical Modeling” organized by the Department of Mathematics from 06.04.2022 - 11.04.2022. |
Students Achievements
| S.no | Students Achievements |
|---|---|
| 1 | A Webinar on Concept series “Stochastic Matrices” was conducted on 02.08.2021. Dr.K.Kalidas, Professor, Department of Mathematics, Karpagam Academy of Higher Education, Coimbatore was the speaker. Department of Mathematics organized a webinar on "All in one - The women" by B.S.Charulatha, Dept. of I.T, Rajalakshmi Engineering College, Chennai on 01.09.2021. |
| 2 | The Department of Mathematics organized a Webinar on "Signal Processing-A Mathematical Perspectives" by Dr. B. Sivakumar, Professor, Department of Mathematics, Rajalakshmi Engineering College, Chennai 26.10.2021 |
| 3 | Department of Mathematics organized an Online National Conference on “Application of Mathematics”, by Dr. R.Uthayakumar, Professor & Head, Department of Mathematics The Gandhigram Rural Institute-Deemed to be University, Gandhigram, Dindigul, TamilNadu, Dr. Shreemathi adiga, Associate Professor, Department of Mathematics, Sri Kalavara Varadaraja M Shetty Government of First Grade College, Koteshwara, Kundapura (Tk), Udupi, Karnataka. |
| 4 | Department of Mathematics Celebrates "National Mathematics Day" - Screening of the life history of Ramanujan at 22.12.2021. |
| 5 | A Seminar on “Data Science and Decision making” was conducted on 07.03.2022, Mr.Ashwin Sabapathy, Pricing Manager, Amazon, United Kingdom was the resource person. |
| 6 | PG and Research Department of Mathematics organized a Webinar on Concept Series - "Mathematical Modelling for System Analysis in Agriculture" by Dr. P. Sujatha, Associate Professor, Department of Renewable Energy Engineering, Agricultural Engineering College & Research Institute, Trichy on 24.03.2022. |
| 7 | Department of Mathematics Organized a webinar on Concept Series " Labelling of Graphs", by Dr.S.Geethalakshmi, Assistant Professor, Department of Mathematics, A.V.V.M. Sri Pushpam College, Poondi, Thanjavur on 27.04.2022 |
| 8 | Department of Mathematics went to Industrial Visit at Solar Observatory, Kodaikanal on 17.05.2022 |