Asymptotic generalized Fermat’s last theorem over number fields

DOI10.1142/S1793042120500463zbMath1477.11057arXiv1904.02349OpenAlexW2981579704WikidataQ127025015 ScholiaQ127025015MaRDI QIDQ5111919

Yasemin Kara, Ekin Ozman

Publication date: 27 May 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02349

zbMATH Keywords

modularitygeneralized Fermat equation\(S\)-unitsasymptotic Fermat equation

Mathematics Subject Classification ID

Galois representations (11F80) Higher degree equations; Fermat's equation (11D41)

Related Items (5)

Asymptotic Fermat for signatures (p,p,2)$(p,p,2)$ and (p,p,3)$(p,p,3)$ over totally real fields ⋮ Asymptotic Fermat for signature \((4, 2, p)\) over number fields ⋮ On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields ⋮ 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

Cites Work

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• On the asymptotic Fermat's last theorem over number fields
• On Serre's modularity conjecture and Fermat's equation over quadratic imaginary fields of class number one
• Class field theory, Diophantine analysis and the asymptotic Fermat's last theorem
• On Fermat's equation over some quadratic imaginary number fields
• The asymptotic Fermat’s Last Theorem for five-sixths of real quadratic fields
• On the generalized Fermat equation over totally real fields

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