Some congruences for Saito-Kurokawa lifts

DOI10.1007/S12188-009-0029-9zbMath1262.11061OpenAlexW2034151147MaRDI QIDQ977332

Shoyu Nagaoka, Yoshinori Mizuno

Publication date: 21 June 2010

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/s12188-009-0029-9

zbMATH Keywords

congruencesSiegel-Eisenstein series\(p\)-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)

Related Items (2)

\(p\)-adic Siegel-Eisenstein series of degree two ⋮ On \(p\)-adic Hermitian Eisenstein series and \(p\)-adic Siegel cusp forms

Cites Work

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• The theory of Jacobi forms
• On Siegel modular forms of level \(p\) and their properties mod \(p\)
• Jacobiformen und Thetareihen. (Jacobi forms and theta series)
• Congruences between cusp forms and Eisenstein series of half-integral weight
• On Saito-Kurokawa descent for congruence subgroups
• \(p\)-adic aspects of Jacobi forms
• Correspondence among Eisenstein series \(E_{2,1}(\tau,z),H_{3\over 2}(\tau)\) and \(E_ 2(\tau)\)
• On some \(p\)-adic properties of Siegel-Eisenstein series.
• A remark on Serre's example of \(p\)-adic Eisenstein series
• Saito-Kurokawa liftings of level \(N\) and practical construction of Jacobi forms
• Dimensions of cusp forms for \(\Gamma_0(p)\) in degree two and small weights
• On a correspondence between p-adic Siegel–Eisenstein series and genus theta series
• On p-adic Siegel–Eisenstein series of weight k

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