Restricting Hecke-Siegel operators to Jacobi modular forms

DOI10.1016/j.jnt.2009.01.027zbMath1196.11068OpenAlexW2044642095MaRDI QIDQ1024540

Lynne H. Walling

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.10.002

zbMATH Keywords

Siegel modular formsHecke operatorsliftsJacobi modular forms

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Jacobi forms (11F50) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (1)

A formula for the action of Hecke operators on half-integral weight Siegel modular forms and applications

Cites Work

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• Modular descent and the Saito-Kurokawa conjecture
• Modular forms of half-integral weight on \(\Gamma_0(4)\)
• The theory of Jacobi forms
• Jacobi forms of higher degree
• Über eine Spezialschar von Modulformen zweiten Grades. (On a Spezialschar of modular forms of second degree.)
• Über eine Spezialschar von Modulformen zweiten Grades. II, III. (On a Spezialschar of modular forms of second degree. II, III)
• Lifting modular forms of half-integral weight to Siegel modular forms of even genus
• Explicit action of Hecke operators on Siegel modular forms.
• Über die analytische Theorie der quadratischen Formen. II
• Generalization of Hecke's Correspondence to Siegel Modular Forms
• Newforms of half-integral weight.
• HECKE OPERATORS ON HILBERT–SIEGEL MODULAR FORMS
• On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)

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