%0 Journal Article %1 noauthororeditor %A Vidhyalakshmi, S. %A Gopalan, M. A. %A Lakshmi, K. %D 2015 %E Kumar, Dr. Shiv %J International Journal of Innovative Science and Modern Engineering (IJISME) %K %N 6 %P 12-15 %T On the Non-Homogeneous Quintic Equation with Seven Unknowns %U https://www.ijisme.org/wp-content/uploads/papers/v3i6/F0855053615.pdf %V 3 %X We obtain infinitely many non-zero integer solutions ( , , , , , , ) x y z w X Y T satisfying the non- homogeneous quintic equation with seven unknowns given by 2 2 2 2 2 2 3 xy x y zw z w X Y T ( ) ( ) ( )      . Various interesting relations between the solutions and special numbers, namely, polygonal numbers, Pyramidal numbers, Stella Octangular numbers, Octahedral numbers,, Jacobsthal number, Jacobsthal-Lucas number, keynea number, Centered pyramidal numbers are presented.

@article{noauthororeditor, abstract = {We obtain infinitely many non-zero integer solutions ( , , , , , , ) x y z w X Y T satisfying the non- homogeneous quintic equation with seven unknowns given by 2 2 2 2 2 2 3 xy x y zw z w X Y T ( ) ( ) ( )      . Various interesting relations between the solutions and special numbers, namely, polygonal numbers, Pyramidal numbers, Stella Octangular numbers, Octahedral numbers,, Jacobsthal number, Jacobsthal-Lucas number, keynea number, Centered pyramidal numbers are presented.}, added-at = {2021-09-18T14:06:51.000+0200}, author = {Vidhyalakshmi, S. and Gopalan, M. A. and Lakshmi, K.}, biburl = {https://www.bibsonomy.org/bibtex/2131581d1231913e266f8a2f256d1e4fa/ijisme_beiesp}, editor = {Kumar, Dr. Shiv}, interhash = {8a0ab49bdff570a605a7bf4db6a713d7}, intrahash = {131581d1231913e266f8a2f256d1e4fa}, issn = {2319-6386}, journal = {International Journal of Innovative Science and Modern Engineering (IJISME)}, keywords = {}, language = {En}, month = may, number = 6, pages = {12-15}, timestamp = {2021-09-18T14:06:51.000+0200}, title = {On the Non-Homogeneous Quintic Equation with Seven Unknowns }, url = {https://www.ijisme.org/wp-content/uploads/papers/v3i6/F0855053615.pdf}, volume = 3, year = 2015 }