English

On Fermat curves modulo a finite number

General Mathematics 2017-08-11 v3

Abstract

We show that the existence of a non-trivial solution of xn+yn=pnx^n+y^n=p^n, with pp a prime number, is equivalent to the existence of a solution of a certain (over-determined) system of (n1)(n-1)-recursion relations ("zipper" equations) in Zp1\mathbb{Z}_{p-1}.

Keywords

Cite

@article{arxiv.1707.01856,
  title  = {On Fermat curves modulo a finite number},
  author = {Yochay Jerby},
  journal= {arXiv preprint arXiv:1707.01856},
  year   = {2017}
}
R2 v1 2026-06-22T20:39:50.279Z