On the solutions of \(x^2 = By^p + Cz^p\) and \(2x^2 = By^p + Cz^p\) over totally real fields

DOI10.1007/s11139-024-00881-yMaRDI QIDQ6612383

Narasimha Kumar, Unnamed Author

Publication date: 30 September 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

semi-stabilityDiophantine equationslevel loweringmodularity of elliptic curvesirreducibility of Galois representations

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) 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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