On old and new Jacobi forms

DOI10.1006/JNTH.1999.2423zbMath0958.11033OpenAlexW2012466703MaRDI QIDQ1961089

Ralf Schmidt

Publication date: 17 April 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c58ef31b1606b231e40d7167d320b492ec53e76d

zbMATH Keywords

Jacobi formsnewformsHecke operatorslocal representationglobal representationoldformsindex shifting operatorspherical vectors

Mathematics Subject Classification ID

Jacobi forms (11F50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (1)

Local newforms with global applications in the Jacobi theory

Cites Work

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• \(L\)-functions for Jacobi forms on \(\text{H} \times \mathbb{C}\)
• The theory of Jacobi forms
• Jacobi forms and a certain space of modular forms
• Spherical representations of the Jacobi group
• On some results of Atkin and Lehner
• L-functions attached to Jacobi forms of degree n. Part I. The basic identity.
• Automorphic Forms on Adele Groups. (AM-83)
• Correspondances de Shimura et quaternions
• Elements of the representation theory of the Jacobi group

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