Dirichlet \(L\)-functions of quadratic characters of prime conductor at the central point

DOI10.4171/JEMS/1084zbMath1505.11114arXiv1809.09992OpenAlexW3184413195MaRDI QIDQ2119370

Kyle Pratt, Siegfred Alan C. Baluyot

Publication date: 29 March 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.09992

zbMATH Keywords

momentsprimesSelberg sievenon-vanishingmollifiercentral pointquadratic Dirichlet character

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Applications of sieve methods (11N36) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Zeta functions and (L)-functions of number fields (11R42) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01)

Related Items

Vanishing of Dirichlet \(L\)-functions at the central point over function fields, Bounds for moments of quadratic Dirichlet $L$-functions of prime-related moduli, First moments of some Hecke \(L\)-functions of prime moduli, Small zeros of Dirichlet \(L\)-functions of quadratic characters of prime modulus, Moments of quadratic Dirichlet \(L\)-functions over function fields

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