Note on \(p\)-adic Hermitian Eisenstein series

DOI10.1007/BF02960867zbMath1132.11022MaRDI QIDQ998246

T. Munemoto, Shoyu Nagaoka

Publication date: 29 August 2007

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

zbMATH Keywords

Eisenstein series\(p\)-adic modular formSiegel Eisenstein seriesHermitian modular formgenus theta series

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Congruences for modular and (p)-adic modular forms (11F33) Fourier coefficients of automorphic forms (11F30)

Related Items (5)

On \(p\)-adic Hermitian Eisenstein series and \(p\)-adic Siegel cusp forms ⋮ On the mod \(p\) kernel of the theta operator and Eisenstein series ⋮ Theta operator on Hermitian modular forms over the Eisenstein field ⋮ On the theta operator for Hermitian modular forms of degree 2 ⋮ Congruences for Hermitian modular forms of degree 2

Cites Work

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• The Maaß space on the Hermitian half-space of degree 2
• Über die Fourierkoeffizienten der Siegelschen Eisensteinreihen
• An explicit formula for Siegel series
• On Eisenstein series
• Local zeta functions on Hermitian forms and its application to local densities
• On some \(p\)-adic properties of Siegel-Eisenstein series.
• A remark on Serre's example of \(p\)-adic Eisenstein series
• Hermitian modular functions
• On 𝑝-adic Hermitian Eisenstein series
• Zur Theorie der hermiteschen Formen in imaginär-quadratischen Zahlkörpern.

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