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2021-01-21

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/190540

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

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https://doi.org/10.1007/s00009-020-01678-1

Abstract

In 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.

Subject

Anàlisi diofàntica, Teoria de nombres, Teoria de Galois, Corbes el·líptiques

Subject (English)

Diophantine analysis, Number theory, Galois theory, Elliptic curves

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

DIEULEFAIT, L. V. (Luis Victor) and SOTO BALLESTEROS, Eduard. Solving $ax^p+by^p=cz^p$ with $abc$ containing an arbitrary number of prime factors. Mediterranean Journal of Mathematics. 2021. Vol. 18, num. 48. ISSN 1660-5446. [consulted: 21 of May of 2026]. Available at: https://hdl.handle.net/2445/190540

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