Effective Log-Free Zero Density Estimates for Automorphic L-Functions and the Sato–Tate Conjecture

DOI10.1093/imrn/rnx309zbMath1469.11126arXiv1505.03122OpenAlexW2963305765WikidataQ123005716 ScholiaQ123005716MaRDI QIDQ5206113

Robert J. Lemke Oliver, Jesse Thorner

Publication date: 18 December 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03122

zbMATH Keywords

\(L\)-functionsSato-Tate conjectureRamanujan conjecture

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Related Items (9)

Towards a 𝐺𝐿_{𝑛} variant of the Hoheisel phenomenon ⋮ Zeros of Rankin-Selberg \(L\)-functions at the edge of the critical strip ⋮ A modular analogue of a problem of Vinogradov ⋮ Elliptic curve variants of the least quadratic nonresidue problem and Linnik’s theorem ⋮ BOMBIERI–VINOGRADOV THEOREMS FOR MODULAR FORMS AND APPLICATIONS ⋮ Linnik's theorem for Sato-Tate laws on elliptic curves with complex multiplication ⋮ Effective forms of the Sato-Tate conjecture ⋮ Weak subconvexity without a Ramanujan hypothesis ⋮ Some remarks on the coefficients of symmetric power 𝐿-functions

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