Simultaneous non-vanishing for Dirichlet \(L\)-functions

DOI10.5802/aif.3275zbMath1454.11160arXiv1706.04888OpenAlexW2973546537MaRDI QIDQ2326252

Raphaël Zacharias

Publication date: 7 October 2019

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04888

zbMATH Keywords

\(L\)-functionsmodular formsbilinear formstrace functionstwisted Kloosterman sums

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) (zeta (s)) and (L(s, chi)) (11M06) Gauss and Kloosterman sums; generalizations (11L05) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (7)

Subconvexity bounds for twisted 𝐿-functions, II ⋮ Bilinear forms in Weyl sums for modular square roots and applications ⋮ Square-root cancellation for sums of factorization functions over short intervals in function fields ⋮ PERIODIC TWISTS OF -AUTOMORPHIC FORMS ⋮ Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums ⋮ Simultaneous non-vanishing of quadratic Dirichlet \(L\)-functions and twists of Hecke \(L\)-functions ⋮ The Second Moment Theory of Families of 𝐿-Functions–The Case of Twisted Hecke 𝐿-Functions

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