A note on Klingen's Eisenstein series

DOI10.1007/BF02941051zbMath0714.11030MaRDI QIDQ750496

Yoshiyuki Kitaoka

Publication date: 1990

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

zbMATH Keywords

Fourier expansionEisenstein seriesSiegel modular formHecke operators

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items

Unnamed Item ⋮ An explicit formula for Koecher-Maaß\ Dirichlet series for Eisenstein series of Klingen type. ⋮ Special values of triple product \(L\)-functions and nearly holomorphic Eisenstein series ⋮ Pullback of Klingen Eisenstein series and certain critical L-values identities

Cites Work

• Lectures on Siegel modular forms and representation by quadratic forms
• Ein Rationalitätssatz für formale Heckereihen zur Siegelschen Modulgruppe. (A rationality theorem for formal Hecke series related to the Siegel modular group)
• Fourier coefficients of generalized Eisenstein series of degree two. I
• Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen
• Über gewisse Siegelsche Modulformen zweiten Grades
• On Fourier coefficients of Klingen's Eisenstein series of degree three
• Zum Darstellungssatz für Siegelsche Modulformen
• Dirichlet series in the theory of Siegel modular forms
• Modular forms of degree n and representation by quadratic forms