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arXiv · 1707.01856

On Fermat curves modulo a finite number

Yochay Jerby
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Abstract

We show that the existence of a non-trivial solution of $x^n+y^n=p^n$, with $p$ a prime number, is equivalent to the existence of a solution of a certain (over-determined) system of $(n-1)$-recursion relations ("zipper" equations) in $\mathbb{Z}_{p-1}$.

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Yochay Jerby. 2017-07-03. On Fermat curves modulo a finite number. https://arxiv.org/abs/1707.01856

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