Selberg's Zeta-, L-, and Eisenstein-series

zbMath0519.10018MaRDI QIDQ1054766

Ulrich Christian

Publication date: 1983

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencefunctional equationfunctional equationsanalytic continuationintegral expressioncomputation of residues of L-series with trivial characterelementary Eisenstein seriesEpstein L-seriesexpansion by means of Selberg zeta-functionexpansion by means of Siegel Eisenstein seriesgeneralizations of Selberg zeta-functionsSelberg Eisenstein seriesSelberg L- seriestransformation formula of theta function

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (5)

Eisenstein series over complex quadratic fields when the class number exceeds one ⋮ On characteristic twists of multiple Dirichlet series associated to Siegel cusp forms ⋮ Restriction of Siegel modular forms to modular curves ⋮ On Eisenstein series for the Hermitian modular groups and the Jacobi groups ⋮ \(p\)-adic measures attached to Siegel modular forms

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