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The Generalized Fermat Equation - MaRDI portal

The Generalized Fermat Equation (Q2826806)

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scientific article; zbMATH DE number 6640546

Language	Label	Description	Also known as
English	The Generalized Fermat Equation	scientific article; zbMATH DE number 6640546

Statements

scholarly article

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The Generalized Fermat Equation (English)

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Michael A. Bennett

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Preda Mihaĭlescu

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Open Problems in Mathematics

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publication date

18 October 2016

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zbMATH Keywords

generalized Fermat equation

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Fermat equation

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Catalan equation

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elliptic curves

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cyclotomic fields

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Galois representation

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Fermat' Last Theorem

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/978-3-319-32162-2_3

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Multi-Frey \(\mathbb Q\)-curves and the Diophantine equation \(a^2+b^6=c^n\)

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Generalized Fermat equations: A miscellany

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THE DIOPHANTINE EQUATION A<sup>4</sup> + 2<sup>δ</sup>B<sup>2</sup> = C<sup>n</sup>

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On the modularity of elliptic curves over \(\mathbb Q\): wild 3-adic exercises

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A complete solution to X2 + Y3 + Z5 = 0

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Galois representations attached to Q-curves and the generalized Fermat equation A 4 + B 2 = C p

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Finiteness theorems for abelian varieties over number fields.

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Elliptic curves over real quadratic fields are modular

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The asymptotic Fermat’s Last Theorem for five-sixths of real quadratic fields

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Fermat's last theorem over some small real quadratic fields

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Criteria for irreducibility of mod \(p\) representations of Frey curves

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Serre's modularity conjecture. I

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Serre's modularity conjecture. II

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Majorations Effectives Pour L’ Équation de Fermat Généralisée

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Rational isogenies of prime degree. (With an appendix by D. Goldfeld)

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Bounds for the torsion of elliptic curves over number fields

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On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms

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On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)

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Vandiver revisited

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Ring-theoretic properties of certain Hecke algebras

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On the ideal class groups of real abelian number fields

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Modular elliptic curves and Fermat's Last Theorem

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Dimitros Poulakis

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-32162-2_3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2826806

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