The action of the heat operator on Jacobi forms

DOI10.1090/S0002-9939-08-09566-XzbMath1214.11061MaRDI QIDQ3617573

Olav K. Richter

Publication date: 30 March 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

heat operatorJacobi form

Mathematics Subject Classification ID

Jacobi forms (11F50) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (8)

Hermitian Jacobi forms and $U(p)$ congruences ⋮ Congruences for Siegel modular forms ⋮ On congruences of Jacobi forms ⋮ RAMANUJAN CONGRUENCES FOR SIEGEL MODULAR FORMS ⋮ Kaneko-Zagier type equation for Jacobi forms of index 1 ⋮ Pairings of harmonic Maass-Jacobi forms involving special values of partial \(L\)-functions ⋮ Congruences in Hermitian Jacobi and Hermitian modular forms ⋮ Rankin-Cohen brackets on Hermitian Jacobi forms and the adjoint of some linear maps

Cites Work

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• The theory of Jacobi forms
• Jacobi forms and the heat operator. II
• \(p\)-adic aspects of Jacobi forms
• Jacobi forms and the heat operator
• Divisors of modular forms on \(\Gamma_{0}(4)\)
• Special values of elliptic functions at points of the divisors of Jacobi forms
• Arithmetic of singular moduli and class polynomials
• The arithmetic of the values of modular functions and the divisors of modular forms
• On 𝑈(𝑝)-congruences
• String partition functions and infinite products

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