An explicit formula for Siegel series

DOI10.1007/BF02942331zbMath0707.11036MaRDI QIDQ919394

Shoyu Nagaoka

Publication date: 1989

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

zbMATH Keywords

functional equationmeromorphic continuationSiegel seriesHermitian modular formssingular seriesnonanalytic Eisenstein series

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30)

Related Items (7)

Note on Siegel-Eisenstein series of low weight ⋮ Special cycles on unitary Shimura varieties. I: Unramified local theory ⋮ IMPROPER INTERSECTIONS OF KUDLA–RAPOPORT DIVISORS AND EISENSTEIN SERIES ⋮ Eisenstein series on quaternion half-space of degree 2 ⋮ Note on \(p\)-adic Hermitian Eisenstein series ⋮ On Eisenstein series for the Hermitian modular groups and the Jacobi groups ⋮ On 𝑝-adic Hermitian Eisenstein series

Cites Work

• On Siegel series for Hermitian forms
• Dirichletsche Reihe mit Funktionalgleichung in der Theorie der Modulfunktion 2. Grades
• On Eisenstein series
• Confluent hypergeometric functions on tube domains
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• Dirichlet series in the theory of Siegel modular forms
• Poles and residues of Eisenstein series for symplectic and unitary groups
• Local densities of quadratic forms and Fourier coefficients of Eisenstein series

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