Frobenius Distribution for Quotients of Fermat Curves of Prime Exponent

DOI10.4153/CJM-2015-028-xzbMath1400.11086arXiv1403.0807OpenAlexW3099612314MaRDI QIDQ2798990

Josep González, Francesc Fité, Joan-Carles Lario

Publication date: 7 April 2016

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0807

zbMATH Keywords

Fermat curveFrobenius distributionSato-Tate group

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Higher degree equations; Fermat's equation (11D41) Relations with random matrices (11M50)

Related Items (4)

On the singularity of the Demjanenko matrix of quotients of Fermat curves ⋮ Sato-Tate distributions of Catalan curves ⋮ The Sato-Tate conjecture for a Picard curve with complex multiplication (with an appendix by Francesc Fité) ⋮ Sato-Tate distributions of \(y^2=x^p-1\) and \(y^2=x^{2p}-1\)

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