\(L\)-functions

zbMath0930.11065MaRDI QIDQ1129857

Peter C. Sarnak

Publication date: 24 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229138

zbMATH Keywords

survey\(L\)-functionsautomorphic \(L\)-functionsRiemann hypothesisnumerical computationsRamanujan conjecturefunction field analogueslocal distribution of high and low-lying zerosnonvanishing at special pointssup-convexity bounds

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

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