On Solving Special Quadratic Diophantine Equations

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Published: 30-10-2026
DOI: https://doi.org/10.54105/ijam.A1258.07010427
Keywords:
atic Diophantine Equation, Quadr, Positive integer solutions,, Polar Form, Euler’s Formula

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R. Krishna
Research Scholar, Post Graduate & Research Department of Mathematics, Dwaraka Doss Goverdhan Doss Vaishnav College, Chennai (Tamil Nadu), India.
R. Sivaraman
Associate Professor, Post Graduate & Research Department of Mathematics, Dwaraka Doss Goverdhan Doss Vaishnav College, Chennai (Tamil Nadu), India.
https://orcid.org/0000-0001-5989-4422

Abstract

Diophantine equations, named afterthe ancient Greek mathematician Diophantus, play a vital role not only in number theory but also in several branches of mathematics. In this paper, we solve a special quadratic Diophantine equation and derive its possible solutions.

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Vol. 6 No. 2 (2026): Volume-6 Issue-2, October 2026

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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How to Cite

[1]
R. Krishna and R. Sivaraman , Trans., “On Solving Special Quadratic Diophantine Equations”, IJAM, vol. 6, no. 2, pp. 47–50, Oct. 2026, doi: 10.54105/ijam.A1258.07010427.
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