\(L\)-functions for Jacobi forms à la Hecke

DOI10.1007/BF02567446zbMath0827.11028MaRDI QIDQ1340225

Rolf Berndt

Publication date: 11 December 1994

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

Full work available at URL: https://eudml.org/doc/155981

zbMATH Keywords

Mellin transformfunctional equation\(L\)-functionsJacobi formsanalytic continuationmodular forms of half-integral weight

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Jacobi forms (11F50)

Related Items (8)

On automorphic \(L\)-functions for the Jacobi group of degree one and a relation with \(L\)-functions for Jacobi forms ⋮ Nonvanishing of kernel functions and Poincaré series for Jacobi forms ⋮ On the analogue of Weil's converse theorem for Jacobi forms and their lift to half-integral weight modular forms ⋮ \(L\)-functions associated to Jacobi forms of half-integral weight and a converse theorem ⋮ \(L\)-functions for Jacobi forms of arbitrary degree ⋮ On degree 2 Siegel cusp forms and its Fourier coefficients ⋮ A study on twisted Koecher-Maass series of Siegel cusp forms via an integral kernel ⋮ On integral kernels for Dirichlet series associated to Jacobi forms

Cites Work

• The theory of Jacobi forms
• Jacobi forms and discrete series representations of 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.

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