Integral Solutions of the Homogeneous Quinary Quintic Diophantine Equation Involving Palindrome Number p5 + q5 - p2q2 (p + q) = 939 (p + q)(r - s)2t2

The study focuses on a homogeneous quinary quintic equation, represented asp5 + q5 − p2q2 (p + q) = 939 (p + q)(r − s)2t2 involving palindrome number. It explores various patterns of integral solutions that satisfy the equation as well as distinct non-zero integer solutions. The study also identifies some special numbers and a few interesting relationships between the solutions.

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Publication Details

Journal
Arya Bhatta Journal of Mathematics and Informatics
Published
2025-01-01
DOI
https://doi.org/10.5958/2394-9309.2025.00005.3
Primary Topic
Algebraic Geometry and Number Theory
Type
article
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article

Integral Solutions of the Homogeneous Quinary Quintic Diophantine Equation Involving Palindrome Number p5 + q5 - p2q2 (p + q) = 939 (p + q)(r - s)2t2

G. Janaki, A Gowri Shankari, A. Saranya
Arya Bhatta Journal of Mathematics and Informatics
Algebraic Geometry and Number Theory
article

Integral Solutions of the Homogeneous Quinary Quintic Diophantine Equation Involving Palindrome Number p5 + q5 - p2q2 (p + q) = 939 (p + q)(r - s)2t2

G. Janaki, A Gowri Shankari, A. Saranya
article en

Abstract

The study focuses on a homogeneous quinary quintic equation, represented asp5 + q5 − p2q2 (p + q) = 939 (p + q)(r − s)2t2 involving palindrome number. It explores various patterns of integral solutions that satisfy the equation as well as distinct non-zero integer solutions. The study also identifies some special numbers and a few interesting relationships between the solutions.

Arya Bhatta Journal of Mathematics and InformaticsVol. 17(1)
Openalex Percentile: Top 80%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Integral Solutions of the Homogeneous Quinary Quintic Diophantine Equation Involving Palindrome Number p5 + q5 - p2q2 (p + q) = 939 (p + q)(r - s)2t2 — G. Janaki, A Gowri Shankari, et al. · Arya Bhatta Journal of Mathematics and Informatics (2025) | TGRS Research Map | TGRS