Differential operators on Jacobi forms of several variables.

DOI10.1006/jnth.1999.2491zbMath1043.11045OpenAlexW2059374011MaRDI QIDQ1587666

Haesuk Kim, Young Ju Choie

Publication date: 26 April 2001

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

Full work available at URL: https://semanticscholar.org/paper/220ea36151e7c65c9bd928ee869cef85c8b5912d

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Jacobi forms (11F50) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (9)

Higher pullbacks of modular forms on orthogonal groups ⋮ Differential operators on Hilbert modular forms ⋮ Automorphic products that are singular modulo primes ⋮ Rankin–Cohen brackets on Jacobi forms of several variables and special values of certain Dirichlet series ⋮ Differential operators for Hermitian Jacobi forms and Hermitian modular forms ⋮ RANKIN’S METHOD AND JACOBI FORMS OF SEVERAL VARIABLES ⋮ On Rankin-Cohen brackets for Siegel modular forms ⋮ Jacobi forms of higher index and paramodular groups in \( \mathcal{N} = 2\), \(D= 4\) compactifications of string theory ⋮ Conway invariant Jacobi forms on the Leech lattice

Cites Work

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• The theory of Jacobi forms
• Jacobi forms of higher degree
• Jacobi forms and the heat operator. II
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Multilinear operators on Siegel modular forms of genus 1 and 2
• Modular forms and differential operators
• Jacobi forms and the heat operator
• Rankin-Cohen operators for Jacobi and Siegel forms
• Jacobi forms of several variables and the Maaß space
• The Fourier-Jacobi functions of n

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