ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES, II

DOI10.1142/S1793042108001845zbMath1197.11058arXiv0710.4222MaRDI QIDQ3636081

Lynne H. Walling

Publication date: 30 June 2009

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

Full work available at URL: https://arxiv.org/abs/0710.4222

zbMATH Keywords

eigenvaluestheta seriesSiegel modular formsHecke operators

Mathematics Subject Classification ID

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

Related Items (4)

A formula for the action of Hecke operators on half-integral weight Siegel modular forms and applications ⋮ Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character ⋮ Hecke operators on Hilbert–Siegel theta series ⋮ Representations by quadratic forms and the Eichler Commutation Relation

Cites Work

• Siegel's modular forms and the arithmetic of quadratic forms
• Die Wirkung von Heckeoperatoren auf Thetareihen mit harmonischen Koeffizienten
• Explicit action of Hecke operators on Siegel modular forms.
• Die Primzahlen in der Theorie der Siegelschen Modulfunktionen. (The prime numbers in the theory of Siegel's modular functions)
• Langlands' Functoriality and the Weil Representation
• ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES I

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