Sato-Tate distributions on Abelian surfaces

DOI10.1090/tran/8025zbMath1465.11118arXiv1808.00243OpenAlexW2982573797WikidataQ126862884 ScholiaQ126862884MaRDI QIDQ4960242

Noah Taylor

Publication date: 9 April 2020

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

Full work available at URL: https://arxiv.org/abs/1808.00243

zbMATH Keywords

FrobeniusSato-Tate distributions

Mathematics Subject Classification ID

Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Tauberian theorems (11M45)

Related Items (6)

Auto-correlation functions of Sato-Tate distributions and identities of symplectic characters ⋮ A note on Tate's conjectures for abelian varieties ⋮ Chebotarev-Sato-Tate distribution for abelian surfaces potentially of \(\mathrm{GL}_2\)-type ⋮ Machine-learning the Sato-Tate conjecture ⋮ The Sato-Tate conjecture and Nagao's conjecture ⋮ Tate module tensor decompositions and the Sato-Tate conjecture for certain abelian varieties potentially of \(\mathrm{GL}_2\)-type

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