The Siegel-Jacobi operator

DOI10.1007/BF02941338zbMath0790.11040MaRDI QIDQ1313456

V. Pereyra

Publication date: 31 January 1994

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Hecke operatorsJacobi forms of several variablesSiegel \(\Phi\)-operator

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Other groups and their modular and automorphic forms (several variables) (11F55)

Related Items (4)

Invariant metric on the extended Siegel-Jacobi upper half space ⋮ Invariant metrics and Laplacians on Siegel-Jacobi space ⋮ Singular Jacobi Forms ⋮ Invariant metrics and Laplacians on Siegel-Jacobi disk

Cites Work

• The theory of Jacobi forms
• Jacobi forms of higher degree
• Stabile Modulformen und Eisensteinreihen. (Stable modular forms and Eisenstein series)
• Thetareihen mit harmonischen Koeffizienten zur Siegelschen Modulgruppe
• Die Wirkung von Heckeoperatoren auf Thetareihen mit harmonischen Koeffizienten
• The Siegel operator and Hecke operators
• On certain reciprocity-laws for theta functions and modular forms
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• On modular forms of half integral weight
• Vektorwertige Siegelsche Modulformen kleinen Gewichtes.
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