Construction of Jacobi cusp forms

DOI10.3792/pjaa.74.117zbMath0921.11025OpenAlexW2089748294MaRDI QIDQ1281904

Hiroshi Sakata

Publication date: 29 September 1999

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.74.117

zbMATH Keywords

Fourier coefficientsRankin-Selberg convolutionconstruction of Jacobi cusp forms

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30)

Related Items (8)

Rankin-Cohen brackets on Jacobi forms and the adjoint of some linear maps ⋮ 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 ⋮ The adjoint of some linear maps constructed with the Rankin-Cohen brackets ⋮ 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
• Heegner points and derivatives of \(L\)-series. II
• Rankin's method and Jacobi forms
• Construction of Jacobi forms

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