SOLUTIONS OF THE CUBIC FERMAT EQUATION IN QUADRATIC FIELDS

DOI10.1142/S1793042113500449zbMath1318.11074arXiv1211.3610MaRDI QIDQ2850709

M. A. Jones, Jeremy Rouse

Publication date: 30 September 2013

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

Full work available at URL: https://arxiv.org/abs/1211.3610

zbMATH Keywords

modular formelliptic curveWaldspurger's theoremFermat equationhalf-integer weight modular form

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Forms of half-integer weight; nonholomorphic modular forms (11F37) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Higher degree equations; Fermat's equation (11D41)

Related Items (2)

A new generalization of Fermat's last theorem ⋮ Solutions of the cubic Fermat equation in ring class fields of imaginary quadratic fields (as periodic points of a 3-adic algebraic function)

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