Differential operators on Jacobi forms and special values of certain Dirichlet series

DOI10.1090/CONM/732/14793zbMath1471.11156OpenAlexW2953451994MaRDI QIDQ5241828

Brundaban Sahu, Abhash Kumar Jha

Publication date: 4 November 2019

Published in: Automorphic Forms and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/732/14793

zbMATH Keywords

Jacobi formsdifferential operatorsadjoint map

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Jacobi forms (11F50) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

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• Rankin-Cohen brackets on Jacobi forms and the adjoint of some linear maps
• The theory of Jacobi forms
• The construction of automorphic forms from the derivatives of given forms
• Heegner points and derivatives of \(L\)-series. II
• Jacobi forms and the heat operator. II
• Cusp forms and special values of certain Dirichlet series
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Construction of Jacobi cusp forms
• Modular forms and differential operators
• Jacobi forms and the heat operator
• Rankin's method and Jacobi forms
• Rankin-Cohen operators for Jacobi and Siegel forms
• Construction of Jacobi forms
• The adjoint of some linear maps constructed with the Rankin-Cohen brackets

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