On \(p\)-adic Hermitian Eisenstein series and \(p\)-adic Siegel cusp forms

DOI10.1016/J.JNT.2012.03.003zbMath1269.11047OpenAlexW1987403293MaRDI QIDQ432466

Toshiyuki Kikuta, Yoshinori Mizuno

Publication date: 4 July 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.03.003

zbMATH Keywords

Jacobi formsHermitian modular formsp-adic cusp formsp-adic Eisenstein series

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Jacobi forms (11F50)

Related Items (3)

Ap-ADIC HERMITIAN MAASS LIFT ⋮ On level \(p\) Siegel cusp forms of degree two ⋮ Koecher-Maass series associated to Hermitian modular forms of degree 2 and a characterization of cusp forms by the Hecke bound

Cites Work

• Unnamed Item
• Unnamed Item
• The Maaß space on the Hermitian half-space of degree 2
• Some congruences for Saito-Kurokawa lifts
• Note on \(p\)-adic Hermitian Eisenstein series
• On Eisenstein series
• On Eisenstein series for the Hermitian modular groups and the Jacobi groups
• \(p\)-adic aspects of Jacobi forms
• On some \(p\)-adic properties of Siegel-Eisenstein series.
• Graded rings of Hermitian modular forms of degree 2
• A remark on Serre's example of \(p\)-adic Eisenstein series
• Saito-Kurokawa liftings of level \(N\) and practical construction of Jacobi forms
• Hermitian Jacobi forms of index one
• Bernoulli numbers and \(p\)-adic \(L\)-functions
• On the restriction of the Hermitian Eisenstein series and its applications
• On a correspondence between p-adic Siegel–Eisenstein series and genus theta series
• On p-adic Siegel–Eisenstein series of weight k

This page was built for publication: On \(p\)-adic Hermitian Eisenstein series and \(p\)-adic Siegel cusp forms