The inner product of an automorphic wave form with the pullback of an Eisenstein series

DOI10.1017/S0027763000002671zbMath0656.10017OpenAlexW1515720181MaRDI QIDQ3803194

Shinji Niwa

Publication date: 1987

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000002671

zbMATH Keywords

theta functionDirichlet seriesFourier coefficientsspecial valuePetersson productL- functioncuspidal Maaß wave formrestricted Eisenstein series

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (2)

Double Dirichlet series and quantum unique ergodicity of weight one-half Eisenstein series ⋮ Pullback of Klingen Eisenstein series and certain critical L-values identities

Cites Work

• Siegel's modular forms and the arithmetic of quadratic forms
• Sur certains groupes d'opérateurs unitaires
• On the coincidence of two Dirichlet series associated to cusp forms of Hecke's Neben-type and Hilbert modular forms over a real quadratic field
• On modular forms of half integral weight
• On construction of holomorphic cusp forms of half integral weight

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