On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields
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Publication:6122153
DOI10.4064/aa221125-23-8arXiv2207.10930OpenAlexW4389559035MaRDI QIDQ6122153
Unnamed Author, Narasimha Kumar
Publication date: 28 February 2024
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.10930
semi-stabilityDiophantine equationslevel lowering\(S\)-unit equationmodularity of elliptic curvesirreducibility of Galois representations
Galois representations (11F80) Higher degree equations; Fermat's equation (11D41) Algebraic numbers; rings of algebraic integers (11R04) Totally real fields (11R80)
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