Differences between perfect powers: The Lebesgue-Nagell equation

DOI10.1090/tran/8734OpenAlexW3201238108MaRDI QIDQ5047924

Samir Siksek, Michael A. Bennett

Publication date: 17 November 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.09128

zbMATH Keywords

Galois representationHilbert modular formsLucas sequencemodularityexponential equationThue equationlevel loweringshifted powerFrey curveBaker's bounds

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Galois representations (11F80) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41)

Related Items

\(\mathbb{Q}\)-curves and the Lebesgue-Nagell equation ⋮ Differences between perfect powers: prime power gaps

Uses Software

• Magma

Cites Work

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