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

dc.contributor.author
Dieulefait, L. V. (Luis Victor)
dc.contributor.author
Soto Ballesteros, Eduard
dc.date.issued
2022-11-07T08:54:11Z
dc.date.issued
2022-11-07T08:54:11Z
dc.date.issued
2021-01-21
dc.date.issued
2022-11-07T08:54:11Z
dc.identifier
1660-5446
dc.identifier
https://hdl.handle.net/2445/190540
dc.identifier
706631
dc.description.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.
dc.format
application/pdf
dc.format
application/pdf
dc.language
eng
dc.publisher
Springer Verlag
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1007/s00009-020-01678-1
dc.relation
Mediterranean Journal of Mathematics, 2021, vol. 18, num. 48
dc.relation
https://doi.org/10.1007/s00009-020-01678-1
dc.rights
(c) Birkhäuser Basel, 2021
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Anàlisi diofàntica
dc.subject
Teoria de nombres
dc.subject
Teoria de Galois
dc.subject
Corbes el·líptiques
dc.subject
Diophantine analysis
dc.subject
Number theory
dc.subject
Galois theory
dc.subject
Elliptic curves
dc.title
Solving $ax^p+by^p=cz^p$ with $abc$ containing an arbitrary number of prime factors.
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion


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