On dimension formulas for Jacobi forms

DOI10.1007/s00209-009-0539-2zbMath1257.11048OpenAlexW2083073357MaRDI QIDQ848836

Haigang Zhou, Hongwen Lu, Tianze Wang

Publication date: 23 February 2010

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

Full work available at URL: https://doi.org/10.1007/s00209-009-0539-2

zbMATH Keywords

Jacobi formsSelberg trace formulatheta seriesdimension formulaSiegel modular forms

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Jacobi forms (11F50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (2)

Algebraicity of special \(L\)-values attached to Siegel-Jacobi modular forms ⋮ Jacobi forms, Saito-Kurokawa lifts, their pullbacks and sup-norms on average

Cites Work

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• The theory of Jacobi forms
• Jacobi forms of higher degree
• Jacobi forms and a certain space of modular forms
• The Weil representation, Maslov index and theta series
• On certain reciprocity-laws for theta functions and modular forms
• Theta series and trace formula for Jacobi forms
• A desingularization problem in the theory of Siegel modular functions
• Contributions from Conjugacy Classes of Regular Elliptic Elements in \operatorSp(n, Z) to the Dimension Formula
• A trace formula for Jacobi forms.
• L-functions attached to Jacobi forms of degree n. Part I. The basic identity.
• On Siegel Modular Forms of Genus Two

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