A Search on Integer Solutions to Ternary Non-homogeneous Nonic Diophantine Equation a α(x2+y2)-(2α-1)xy=4αz9

Different sets of integer solutions to the non-homogeneous Nonic Diophantine equation with three unknowns given by α(x2+y2)-(2α-1) xy=4αz9 are presented in this paper.

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Publication Details

Journal
Advances in Nonlinear Variational Inequalities
Published
2024-08-23
DOI
https://doi.org/10.52783/anvi.v27.504
Primary Topic
Algebraic Geometry and Number Theory
Type
article
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article

A Search on Integer Solutions to Ternary Non-homogeneous Nonic Diophantine Equation a α(x2+y2)-(2α-1)xy=4αz9

N. Thiruniraiselvi
Advances in Nonlinear Variational Inequalities
Algebraic Geometry and Number Theory
article

A Search on Integer Solutions to Ternary Non-homogeneous Nonic Diophantine Equation a α(x2+y2)-(2α-1)xy=4αz9

N. Thiruniraiselvi
article en

Abstract

Different sets of integer solutions to the non-homogeneous Nonic Diophantine equation with three unknowns given by α(x2+y2)-(2α-1) xy=4αz9 are presented in this paper.

Advances in Nonlinear Variational InequalitiesVol. 27(2)
Openalex Percentile: Top 68%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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A Search on Integer Solutions to Ternary Non-homogeneous Nonic Diophantine Equation a α(x2+y2)-(2α-1)xy=4αz9 — N. Thiruniraiselvi · Advances in Nonlinear Variational Inequalities (2024) | TGRS Research Map | TGRS