The Generalized Fermat Equation

DOI10.1007/978-3-319-32162-2_3zbMath1440.11037OpenAlexW2477834077MaRDI QIDQ2826806

Michael A. Bennett, Preda Mihaĭlescu, Samir Siksek

Publication date: 18 October 2016

Published in: Open Problems in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-32162-2_3

zbMATH Keywords

elliptic curvesGalois representationcyclotomic fieldsFermat equationgeneralized Fermat equationCatalan equationFermat' Last Theorem

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Higher degree equations; Fermat's equation (11D41)

Related Items (7)

A modular approach to the generalized Ramanujan-Nagell equation ⋮ Diophantine equations with three monomials ⋮ On some generalized Fermat equations of the form x2+y2n=zp$x^2+y^{2n} = z^p$ ⋮ Reverse engineered Diophantine equations ⋮ On a class of generalized Fermat equations of signature \((2,2n,3)\) ⋮ Rational points on twisted modular curves ⋮ Unnamed Item

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