Über Kernfunktionen für Jacobiformen und Siegelsche Modulformen. (Kernel functions for Jacobi forms and Siegel modular forms)

DOI10.1007/BF01455065zbMath0695.10023MaRDI QIDQ909703

Helmut Klingen

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/164609

zbMATH Keywords

integral representationreproducing kernelSiegel modular formsSiegel half-spacePetersson scalar productFourier Jacobi coefficientsJacobi cusp formsmetrization theory

Mathematics Subject Classification ID

Jacobi forms (11F50)

Related Items

Construction of Jacobi forms ⋮ Characteristic twists of a Dirichlet series for Siegel cusp forms ⋮ A decomposition theorem for Jacobi forms ⋮ Hermitian Jacobi forms ⋮ Modular forms of orthogonal type and Jacobi theta-series ⋮ On Poincaré series and restriction mappings ⋮ A Note on Eigenvalues of Hecke Operators on Siegel Modular Forms of Degree Two ⋮ A Dirichlet series attached to three Siegel modular forms ⋮ A CERTAIN DIRICHLET SERIES OF RANKIN–SELBERG TYPE ASSOCIATED WITH THE IKEDA LIFT OF HALF‐INTEGRAL WEIGHT ⋮ Automorphic forms and functions with respect to the Jacobi group ⋮ Class numbers, Jacobi forms and Siegel-Eisenstein series of weight 2 on \(\text{Sp}_ 2(\mathbb{Z})\)

Cites Work

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• The theory of Jacobi forms
• Metrisierungstheorie und Jacobiformen. (Metrization theory and Jacobi forms)
• A note on automorphic forms.
• A trace formula for Jacobi forms.
• L-functions attached to Jacobi forms of degree n. Part I. The basic identity.