The Second Moment Theory of Families of 𝐿-Functions–The Case of Twisted Hecke 𝐿-Functions
DOI10.1090/memo/1394OpenAlexW4318962582MaRDI QIDQ5877456
William F. Sawin, Étienne Fouvry, Valentin Blomer, Djordje Milićević, Philippe Michel, Emmanuel Kowalski
Publication date: 13 February 2023
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.01450
moments\(L\)-functionsmodular formsKloosterman sumsspecial values of \(L\)-functionsmollificationshifted convolution sumsroot numberanalytic rankresonator method
(zeta (s)) and (L(s, chi)) (11M06) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05) 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) Holomorphic modular forms of integral weight (11F11) Estimates on character sums (11L40) Automorphic forms, one variable (11F12) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
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