Thetareihen mit harmonischen Koeffizienten zur Siegelschen Modulgruppe

DOI10.1007/BF01457884zbMath0445.10022MaRDI QIDQ1145168

Eberhard Freitag

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163482

zbMATH Keywords

Siegel modular groupharmonic formsingular modular formsum of theta seriestheta series with harmonic coefficients

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Automorphic forms in several complex variables (32N10)

Related Items

On singular modular forms for principal congruence subgroups, Mixed Hodge structures and automorphic forms for Siegel modular varieties of degree two, Singular holomorphic representations and singular modular forms, Behavior of theta-series under modular substitutions, Die Wirkung von Heckeoperatoren auf Thetareihen mit harmonischen Koeffizienten, On the holomorphic differential forms of the Siegel modular variety, On the holomorphic differential forms of the Siegel modular variety. II, Poles and residues of standard L-functions attached to Siegel modular forms, Covariant differential operators, Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen. II, Vector-valued Siegel modular forms of weight det^k ⊗ Sym(8), The Siegel-Jacobi operator

Cites Work

• Zeta-functions with Größencharakteren and spherical functions
• Stabile Modulformen
• On the Segal-Shale-Weil representations and harmonic polynomials
• A vanishing theorem for automorphic forms of Siegel's modular group
• BEHAVIOR OF THETA SERIES OF DEGREE $ N$ UNDER MODULAR SUBSTITUTIONS