HECKE OPERATORS ON HILBERT–SIEGEL MODULAR FORMS

DOI10.1142/S1793042107001048zbMath1196.11066arXiv0710.4224OpenAlexW2128982537MaRDI QIDQ5386807

Lynne H. Walling, Suzanne Caulk

Publication date: 14 May 2008

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

Full work available at URL: https://arxiv.org/abs/0710.4224

zbMATH Keywords

Hilbert-Siegel modular formsaction of Hecke operators on Fourier coefficients

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (3)

Hecke operators on Hilbert–Siegel theta series ⋮ Restricting Hecke-Siegel operators to Jacobi modular forms ⋮ Explicit computations in Hecke algebras of GL$_2$ over Dedekind domains

Cites Work

• The special values of the zeta functions associated with Hilbert modular forms
• Explicit action of Hecke operators on Siegel modular forms.
• ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES I

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