Fermat-type equations of signature \((13,13,p)\) via Hilbert cuspforms

DOI10.1007/s00208-013-0920-7zbMath1365.11031arXiv1112.4521OpenAlexW2046339960MaRDI QIDQ378831

Nuno Freitas, Luis V. Dieulefait

Publication date: 12 November 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4521

zbMATH Keywords

modularityFrey curvesgeneralized Fermat equations

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80) Higher degree equations; Fermat's equation (11D41)

Related Items

Generalized Fermat equations: A miscellany ⋮ A result on the equation $x^p + y^p = z^r$ using Frey abelian varieties ⋮ A multi-Frey approach to Fermat equations of signature $(r,r,p)$ ⋮ On Serre's uniformity conjecture for semistable elliptic curves over totally real fields ⋮ Superelliptic equations arising from sums of consecutive powers ⋮ Elliptic curves over real quadratic fields are modular ⋮ Recipes to Fermat-type equations of the form \(x^r + y^r =Cz^p\) ⋮ Criteria for irreducibility of mod \(p\) representations of Frey curves

Uses Software

• Magma

Cites Work

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