Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character

DOI10.1142/S179304211750021XzbMath1365.11053arXiv1412.4588OpenAlexW1926297438MaRDI QIDQ2965771

Lynne H. Walling

Publication date: 3 March 2017

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

Full work available at URL: https://arxiv.org/abs/1412.4588

zbMATH Keywords

eigenvaluesHecke operatorsSiegel Eisenstein series

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Holomorphic modular forms of integral weight (11F11)

Related Items (5)

Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series ⋮ Some relations on Fourier coefficients of degree 2 Siegel forms of arbitrary level ⋮ Fourier coefficients of the Siegel Eisenstein series of degree 2 with odd prime level, corresponding to the middle cusp ⋮ Hecke operators on half-integral weight Siegel Eisenstein series ⋮ Hecke operators on Hilbert–Siegel theta series

Cites Work

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• Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series
• Siegel Eisenstein series of arbitrary level and theta series
• Explicit action of Hecke operators on Siegel modular forms.
• A note on Hecke eigenvalues of Hermitian Siegel Eisenstein series
• On the Hecke operator \(U(p)\) (with an appendix by Ralf Schmidt)
• ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES, II
• ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES I

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