Construction of Jacobi forms

DOI10.1007/BF02572350zbMath0822.11040OpenAlexW2041008699MaRDI QIDQ1895770

Hyun Kwang Kim, Marvin Isadore Knopp, Young Ju Choie

Publication date: 23 October 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174758

zbMATH Keywords

Fourier coefficientsRankin-Selberg convolutionJacobi cusp forms\(L\)-series of Rankin typeHecke-type estimatemodular group \(\Gamma(1)\)

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50)

Related Items (10)

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's method and Jacobi forms ⋮ 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 ⋮ Construction of Jacobi cusp forms ⋮ 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
• Über Kernfunktionen für Jacobiformen und Siegelsche Modulformen. (Kernel functions for Jacobi forms and Siegel modular forms)
• Heegner points and derivatives of \(L\)-series. II
• Cusp forms and special values of certain Dirichlet series
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