$S$-Unit Equations and the Asymptotic Fermat Conjecture over Number Fields
Number Theory
2020-12-14 v2
Abstract
Recent attempts at studying the Fermat equation over number fields have uncovered an unexpected and powerful connection with -unit equations. In this expository paper we explain this connection and its implications for the asymptotic Fermat conjecture.
Cite
@article{arxiv.2003.11289,
title = {$S$-Unit Equations and the Asymptotic Fermat Conjecture over Number Fields},
author = {Ekin Ozman and Samir Siksek},
journal= {arXiv preprint arXiv:2003.11289},
year = {2020}
}