Siegel Eisenstein series of arbitrary level and theta series

DOI10.1007/BF02940806zbMath0870.11028MaRDI QIDQ1349490

Eberhard Freitag

Publication date: 13 February 1997

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Siegel modular formtheta seriesgenusSiegel mean valueSiegel Eisenstein serieseigenfunction of the Hecke operatoreven integral quadratic formSiegel's Hauptsatzzero-dimensional cusps

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items

Cuspidality and the growth of Fourier coefficients of modular forms: a survey ⋮ Cuspidality and the growth of Fourier coefficients of modular forms ⋮ On the Fourier coefficients of the Siegel Eisenstein series of odd level and the genus theta series ⋮ Siegel Einstein series and Hecke operators ⋮ Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character ⋮ Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series

Cites Work

• Eine Charakterisierung der Eisenstein-Reihe zur Siegelschen Modulgruppe. (A characterization of the Eisenstein series for the Siegel modular group)
• Singular modular forms and theta relations
• Action of Hecke operator \(T(p)\) on theta series
• BEHAVIOR OF THETA SERIES OF DEGREE $ N$ UNDER MODULAR SUBSTITUTIONS
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