Cusp forms and special values of certain Dirichlet series

DOI10.1007/BF02571414zbMath0744.11026MaRDI QIDQ1183085

Winfried Kohnen

Publication date: 28 June 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174295

zbMATH Keywords

Poincaré seriesadjoint operatorPetersson scalar productspecial values of Dirichlet seriesconstruction of cusp formsspace of elliptic cusp forms

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (16)

Rankin-Cohen brackets on Jacobi forms and the adjoint of some linear maps ⋮ The adjointness of the maps between the space of Jacobi forms and the space of modular forms ⋮ Construction of Jacobi forms ⋮ Rankin-Cohen brackets on Hilbert modular forms and special values of certain Dirichlet series ⋮ A short note on sign changes and non-vanishing of Fourier coefficients of half-integral weight cusp forms ⋮ Rankin-Cohen brackets on Siegel modular forms and special values of certain Dirichlet series ⋮ On the adjoint of higher order Serre derivatives ⋮ Rankin–Cohen brackets on Jacobi forms of several variables and special values of certain Dirichlet series ⋮ On Poincaré series and restriction mappings ⋮ The adjoint map of the Serre derivative and special values of shifted Dirichlet series ⋮ The adjoint of some linear maps constructed with the Rankin-Cohen brackets ⋮ Rankin-Cohen brackets and Serre derivatives as Poincaré series ⋮ Rankin-Cohen brackets on Hermitian Jacobi forms and the adjoint of some linear maps ⋮ Differential operators on Jacobi forms and special values of certain Dirichlet series ⋮ Hilbert cusp forms and special values of Dirichlet series of Rankin type ⋮ On Poincaré series of exponential type on Sp\(_ 2\)

Cites Work

• The theory of Jacobi forms
• Jacobi forms and certain special values of Dirichlet series associated to modular forms

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