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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

Year: 2025

Type: article

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.

Source: Arya Bhatta Journal of Mathematics and Informatics

DOI: 10.5958/2394-9309.2025.00005.3

Authors: A Gowri Shankari, G Janaki, A Saranya

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4411531877

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