A Modish Glance of Integer Solutions to Non-homogeneous Cubic Diophantine Equation with Three Unknowns 7 (x2-xy+y2)= 12 z3

The main thrust of this paper is focused on determining varieties of non-zero distinct integer solutions to the non-homogeneous ternary cubic Diophantine equation 7 (x2-xy+y2)= 12 z3 . Various choices of integer solutions to the above equation are obtained by reducing it to the equation which is solvable, through employing suitable transformations and applying the factorization method.

Authors

Publication Details

Journal
International Journal of Current Science Research and Review
Published
2024-08-15
DOI
https://doi.org/10.47191/ijcsrr/v7-i8-63
Citations
1
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.36
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article

A Modish Glance of Integer Solutions to Non-homogeneous Cubic Diophantine Equation with Three Unknowns 7 (x2-xy+y2)= 12 z3

N. Thiruniraiselvi, M. A. Gopalan
1 citations
International Journal of Current Science Research and Review
Polynomial and algebraic computation
0.36
article

A Modish Glance of Integer Solutions to Non-homogeneous Cubic Diophantine Equation with Three Unknowns 7 (x2-xy+y2)= 12 z3

N. Thiruniraiselvi, M. A. Gopalan
article en
1 citations

Abstract

The main thrust of this paper is focused on determining varieties of non-zero distinct integer solutions to the non-homogeneous ternary cubic Diophantine equation 7 (x2-xy+y2)= 12 z3 . Various choices of integer solutions to the above equation are obtained by reducing it to the equation which is solvable, through employing suitable transformations and applying the factorization method.

International Journal of Current Science Research and ReviewVol. 07(08)
Openalex Percentile: Top 37%
Polynomial and algebraic computation
0.36
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A Modish Glance of Integer Solutions to Non-homogeneous Cubic Diophantine Equation with Three Unknowns 7 (x2-xy+y2)= 12 z3 — N. Thiruniraiselvi, M. A. Gopalan · International Journal of Current Science Research and Review (2024) | TGRS Research Map | TGRS