Solutions of the cubic Fermat equation in ring class fields of imaginary quadratic fields (as periodic points of a 3-adic algebraic function)

DOI10.1142/S179304211650055XzbMath1415.11063arXiv1410.6798MaRDI QIDQ2805960

Patrick Morton

Publication date: 13 May 2016

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

Full work available at URL: https://arxiv.org/abs/1410.6798

zbMATH Keywords

periodic pointsclass number formularing class fieldalgebraic function3-adic fieldcubic Fermat equation

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) Higher degree equations; Fermat's equation (11D41) Elliptic curves over local fields (11G07) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (4)

Product formulas for the 5-division points on the Tate normal form and the Rogers-Ramanujan continued fraction ⋮ Periodic points of algebraic functions and Deuring's class number formula ⋮ Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. III ⋮ Supersingular parameters of the Deuring normal form

Uses Software

• ecdata

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