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arXiv · 2003.11289

$S$-Unit Equations and the Asymptotic Fermat Conjecture over Number Fields

Ekin Ozman·Samir Siksek
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Abstract

Recent attempts at studying the Fermat equation over number fields have uncovered an unexpected and powerful connection with $S$-unit equations. In this expository paper we explain this connection and its implications for the asymptotic Fermat conjecture.

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Ekin Ozman, Samir Siksek. 2020-03-25. $S$-Unit Equations and the Asymptotic Fermat Conjecture over Number Fields. https://arxiv.org/abs/2003.11289

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