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

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dc.contributor.authorDieulefait, L. V. (Luis Victor)
dc.contributor.authorSoto Ballesteros, Eduard
dc.date.accessioned2022-11-07T08:54:11Z
dc.date.available2022-11-07T08:54:11Z
dc.date.issued2021-01-21
dc.date.updated2022-11-07T08:54:11Z
dc.description.abstractIn 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.mimetypeapplication/pdf
dc.identifier.idgrec706631
dc.identifier.issn1660-5446
dc.identifier.urihttps://hdl.handle.net/2445/190540
dc.language.isoeng
dc.publisherSpringer Verlag
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1007/s00009-020-01678-1
dc.relation.ispartofMediterranean Journal of Mathematics, 2021, vol. 18, num. 48
dc.relation.urihttps://doi.org/10.1007/s00009-020-01678-1
dc.rights(c) Birkhäuser Basel, 2021
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationAnàlisi diofàntica
dc.subject.classificationTeoria de nombres
dc.subject.classificationTeoria de Galois
dc.subject.classificationCorbes el·líptiques
dc.subject.otherDiophantine analysis
dc.subject.otherNumber theory
dc.subject.otherGalois theory
dc.subject.otherElliptic curves
dc.titleSolving $ax^p+by^p=cz^p$ with $abc$ containing an arbitrary number of prime factors.
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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