ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES I

DOI10.1142/S1793042106000516zbMath1196.11067OpenAlexW4247945831MaRDI QIDQ5483358

Lynne H. Walling

Publication date: 14 August 2006

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

Full work available at URL: https://doi.org/10.1142/s1793042106000516

zbMATH Keywords

theta 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 (6)

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 MODULAR FORMS ⋮ Hecke operators on Hilbert–Siegel theta series ⋮ ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES, II ⋮ 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

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