A Hecke correspondence theorem for automorphic integrals with rational period functions

zbMath0742.11028MaRDI QIDQ811649

John H. Hawkins, Marvin Isadore Knopp

Publication date: 1992

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Mellin transformmeromorphic continuationautomorphic integralsrational periodic functionsDirichlet series with functional equationsentire automorphic formsmodular integralRiemann-Hecke correspondence

Mathematics Subject Classification ID

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) Automorphic forms, one variable (11F12)

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Holomorphic Automorphic Forms and Cohomology ⋮ Dirichlet series with functional equations and arithmetical identities ⋮ A Hecke correspondence theorem for nonanalytic automorphic integrals