A converse theorem for Hilbert-Jacobi forms

DOI10.1216/RMJ-2009-39-2-423zbMath1222.11062OpenAlexW2111714965MaRDI QIDQ1024941

Shuichi Hayashida, Kathrin Bringmann

Publication date: 18 June 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2009-39-2-423

zbMATH Keywords

Dirichlet seriesconverse theoremHilbert-Jacobi forms

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Jacobi forms (11F50) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (2)

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

Cites Work

• A converse theorem for Jacobi forms
• The theory of Jacobi forms
• Automorphic forms on \(GL(3)\). I, II
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• \(L\)-functions for Jacobi forms of arbitrary degree
• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• On the functional equation of certain Dirichlet series
• Automorphic forms on GL (2)
• Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)
• Generalization of Hecke's Correspondence to Siegel Modular Forms
• ON THE GROUPSL₂OVER DEDEKIND RINGS OF ARITHMETIC TYPE
• A Short Note on the Full Jacobi Group
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung
• Jacobi forms over totally real number fields
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