A short proof of the Kitaoka-Feit induction lemma for Siegel series

DOI10.1007/BF02942567zbMath0944.11016OpenAlexW1972711961WikidataQ124810355 ScholiaQ124810355MaRDI QIDQ1969616

Hidenori Katsurada

Publication date: 19 March 2000

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

Full work available at URL: https://doi.org/10.1007/bf02942567

zbMATH Keywords

Eisenstein serieslocal densitiesSiegel seriesFourier coefficients of Siegel-Eisenstein series of half-integral weight

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30)

Cites Work

• On Eisenstein series
• On Eisenstein series of half-integral weight
• Euler products and Fourier coefficients of automorphic forms on symplectic groups
• A recursion formula for local densities
• A certain formal power series of several variables attached to local densities of quadratic forms. I
• Dirichlet series in the theory of Siegel modular forms
• Poles and residues of Eisenstein series for symplectic and unitary groups
• Explicit formulas for local factors in the Euler products for Eisenstein series

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