Class field theory, Diophantine analysis and the asymptotic Fermat's last theorem

DOI10.1016/j.aim.2019.106964zbMath1450.11023arXiv1902.07798OpenAlexW3001419426WikidataQ126316660 ScholiaQ126316660MaRDI QIDQ2295456

Alain Kraus, Samir Siksek, Nuno Freitas

Publication date: 13 February 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07798

zbMATH Keywords

modularityclass field theoryDiophantine analysisFermat

Mathematics Subject Classification ID

Class field theory (11R37) Higher degree equations; Fermat's equation (11D41) Linear forms in logarithms; Baker's method (11J86)

Related Items (8)

Fermat’s Last Theorem and modular curves over real quadratic fields ⋮ Asymptotic Fermat for signature \((4, 2, p)\) over number fields ⋮ Asymptotic generalized Fermat’s last theorem over number fields ⋮ Fermat’s Last Theorem over and ⋮ On asymptotic Fermat over \(\mathbb{Z}_p\)-extensions of \(\mathbb{Q}\) ⋮ Irreducibility of mod p Galois representations of elliptic curves with multiplicative reduction over number fields ⋮ On ternary Diophantine equations of signature(p,p,2)over number fields ⋮ On asymptotic Fermat over the \(\mathbb{Z}_2\)-extension of \(\mathbb{Q}\)

Uses Software

• Magma
• PARI/GP

Cites Work

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