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arXiv · 2004.14779

Integral Solutions of $ x^p-my^p=zw$

Antenor Ostine
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Abstract

In this paper, using a basic algebraic approach, we demonstrate that, if the integers $x,y$ and $z$ are pairwise relatively prime, and $x^p-my^p=zw$ where $m$ is an integer and $p$ is a prime, then we can write $x,y,m,z$ and $w$ as explicit expressions in 7 integers.

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Antenor Ostine. 2020-04-21. Integral Solutions of $ x^p-my^p=zw$. https://arxiv.org/abs/2004.14779

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