\(p\)-adic aspects of Jacobi forms

DOI10.1006/jnth.1997.2095zbMath0878.11021OpenAlexW2021915265MaRDI QIDQ1355081

Adriana Sofer

Publication date: 5 January 1998

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2095

zbMATH Keywords

\(p\)-adic measure\(p\)-adic Jacobi formsKatz's \(p\)-adic modular forms

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Jacobi forms (11F50)

Related Items (12)

On the congruences of Jacobi forms ⋮ Congruences for Siegel modular forms and their weights ⋮ Hermitian Jacobi forms and $U(p)$ congruences ⋮ Congruences for Siegel modular forms ⋮ On \(p\)-adic Hermitian Eisenstein series and \(p\)-adic Siegel cusp forms ⋮ On congruences of Jacobi forms ⋮ Jacobi forms and \(p\)-adic Weber formula ⋮ Some congruences for Saito-Kurokawa lifts ⋮ RAMANUJAN CONGRUENCES FOR SIEGEL MODULAR FORMS ⋮ The action of the heat operator on Jacobi forms ⋮ Congruences in Hermitian Jacobi and Hermitian modular forms ⋮ On p-Adic Properties of Siegel Modular Forms

Cites Work

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• The theory of Jacobi forms
• Arithmetic of p-adic modular forms
• On some arithmetic properties of modular forms of one and several variables
• \(p\)-adic interpolation of real analytic Eisenstein series
• The \(p\)-adic sigma function
• Jacobi-Eisenstein series and \(p\)-adic interpolation of symmetric squares of cusp forms
• \(p\)-adic interpolation of square roots of central values of Hecke \(L\)-functions
• The Congruences of Clausen-von Staudt and Kummer for Half-integral Weight Eisenstein Series

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