Solving $ax^p+by^p=cz^p$ with $abc$ containing an arbitrary number of prime factors.

Dieulefait, L. V. (Luis Victor)Soto Ballesteros, Eduard2022-11-072022-11-072021-01-211660-5446https://hdl.handle.net/2445/190540In this paper we prove new cases of the asymptotic Fermatequation with coefficients. This is done by solving some remarkable S-unit equations and applying a method of Frey-Kraus-Mazur.application/pdfeng(c) Birkhäuser Basel, 2021Anàlisi diofànticaTeoria de nombresTeoria de GaloisCorbes el·líptiquesDiophantine analysisNumber theoryGalois theoryElliptic curvesSolving $ax^p+by^p=cz^p$ with $abc$ containing an arbitrary number of prime factors.info:eu-repo/semantics/article7066312022-11-07info:eu-repo/semantics/openAccess