Polynomial representation of Fermat's Last Theorem

TL;DR

This paper introduces a polynomial-based method to analyze Fermat's Last Theorem, linking polynomial roots to the theorem's validity, and claims to provide Fermat's own proof approach.

Contribution

It presents a novel polynomial representation for Fermat's Last Theorem, offering a new perspective on its proof through root analysis.

Findings

Polynomial association with FLT equations

Root analysis suggests proof of FLT

Method aligns with Fermat's claimed proof

Abstract

We propose a new approach at Fermat's Last Theorem (FLT) solution: for each FLT equation we associate a polynomial of the same degree. The study of the roots of the polynomial allows us to investigate the FLT validity. This technique, certainly within the reach of Fermat himself, allows us infer that this is the marvelous proof that Fermat claimed to have.