On the Non-Homogeneous Quintic Equation with Seven Unknowns
S. Vidhyalakshmi, M. Gopalan, and K. Lakshmi. International Journal of Innovative Science and Modern Engineering (IJISME), 3 (6):
12-15(May 2015)
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.
%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 11D41. 2010 Centered Integral MSC Mathematics Non-homogeneous Polygonal Pyramidal Quintic classification: equation numbers pyramidal solutions subject
%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 = {2021-09-18T14:05:49.000+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 = {11D41. 2010 Centered Integral MSC Mathematics Non-homogeneous Polygonal Pyramidal Quintic classification: equation numbers pyramidal solutions subject},
language = {En},
month = may,
number = 6,
pages = {12-15},
timestamp = {2021-09-18T14:06:50.000+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
}