Dirichlet series corresponding to Siegel's modular forms of degree n with level N

DOI10.2748/tmj/1178227657zbMath0714.11031OpenAlexW2030312722MaRDI QIDQ750498

Tsuneo Arakawa

Publication date: 1990

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227657

zbMATH Keywords

Siegel modular formDirichlet seriesresidue formularesidues of Koecher-Epstein zeta-functions

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) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items

Explicit formulae of Siegel Eisenstein series ⋮ Note on Siegel-Eisenstein series ⋮ Mellin Transforms of Vector Valued Theta Series Attached to Quaternion Algebras ⋮ Kocher-Maaß-series for modular forms of quaternions ⋮ An explicit formula for Koecher-Maaß\ Dirichlet series for Eisenstein series of Klingen type. ⋮ The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2 ⋮ Koecher-Maass series associated to Hermitian modular forms of degree 2 and a characterization of cusp forms by the Hecke bound ⋮ An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two and square-free odd levels

Cites Work

• Dirichlet series corresponding to Siegel's modular forms
• Zum Darstellungssatz für Siegelsche Modulformen
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• Vektorwertige Siegelsche Modulformen kleinen Gewichtes.
• Über Dirichlet-Reihen mit Funktionalgleichung.
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