On automorphic \(L\)-functions for the Jacobi group of degree one and a relation with \(L\)-functions for Jacobi forms

DOI10.1007/BF02678190zbMath0905.11026MaRDI QIDQ1357576

Jost Homrighausen, Rolf Berndt

Publication date: 5 January 1999

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156261

zbMATH Keywords

Mellin transformautomorphic \(L\)-functionsWhittaker functionzeta integralsWhittaker modelautomorphic representations of the Jacobi grouplocal \(L\)-factor

Mathematics Subject Classification ID

Jacobi forms (11F50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (2)

\(L\)-functions for Jacobi forms of arbitrary degree ⋮ Spherical representations of the Jacobi group

Cites Work

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• The theory of Jacobi forms
• Jacobi forms and discrete series representations of the Jacobi group
• \(L\)-functions for Jacobi forms à la Hecke
• On local Whittaker models for the Jacobi group of degree one
• On automorphic forms for the Jacobi group
• On modular forms of half integral weight
• L-functions attached to Jacobi forms of degree n. II: Functional equation
• THE ACTION OF MODULAR OPERATORS ON THE FOURIER-JACOBI COEFFICIENTS OF MODULAR FORMS
• L-functions attached to Jacobi forms of degree n. Part I. The basic identity.
• Correspondances de Shimura et quaternions

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