On a Relation Between ~ SL 2 Cusp Forms and Cusp Forms on Tube Domains Associated to Orthogonal Groups

DOI10.2307/1998642zbMath0465.10024OpenAlexW4255781608MaRDI QIDQ3916640

Stephen Rallis, Gérard Schiffmann

Publication date: 1981

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1998642

zbMATH Keywords

liftingDirichlet seriesEuler productsWeil representationFourier coefficients of modular formsgeneralized Shimura correspondencecorrespondence between automorphic formsgeneralized Zagier identity

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11R39)

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