Rankin-Cohen brackets on Jacobi forms and the adjoint of some linear maps

DOI10.1007/S11139-015-9683-YzbMath1417.11069OpenAlexW2004116529MaRDI QIDQ265584

Brundaban Sahu, Abhash Kumar Jha

Publication date: 4 April 2016

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-015-9683-y

zbMATH Keywords

Jacobi formsRankin-Cohen bracketsadjoint 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)

Related Items (6)

Rankin-Cohen brackets on Hilbert modular forms and special values of certain Dirichlet series ⋮ Rankin-Cohen brackets on Siegel modular forms and special values of certain Dirichlet series ⋮ Rankin–Cohen brackets on Jacobi forms of several variables and special values of certain Dirichlet series ⋮ The adjoint map of the Serre derivative and special values of shifted Dirichlet series ⋮ Rankin-Cohen brackets on Hermitian Jacobi forms and the adjoint of some linear maps ⋮ Differential operators on Jacobi forms and special values of certain Dirichlet series

Cites Work

• 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
• Construction of Jacobi cusp forms
• Modular forms and differential operators
• Jacobi forms and the heat operator
• Rankin's method and Jacobi forms
• Construction of Jacobi forms
• Siegel cusp forms and special values of dirichlet series of rankin type
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