Solving $a x^p + b y^p = c z^p$ with $abc$ containing an arbitrary number of prime factors

Luis Dieulefait; Eduardo Soto

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arXiv · 1811.05957

Solving $a x^p + b y^p = c z^p$ with $abc$ containing an arbitrary number of prime factors

Luis Dieulefait·Eduardo Soto

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Abstract

In this paper we prove new cases of the asymptotic Fermat equation with coefficients. This is done by solving remarkable $S$-units equations and applying a method of Frey-Mazur.

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Luis Dieulefait, Eduardo Soto. 2018-11-14. Solving $a x^p + b y^p = c z^p$ with $abc$ containing an arbitrary number of prime factors. https://arxiv.org/abs/1811.05957

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