Rankin's method and Jacobi forms

DOI10.1007/BF02940838zbMath0890.11018MaRDI QIDQ1378261

Winfried Kohnen, Young Ju Choie

Publication date: 8 July 1998

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Jacobi formsJacobi-Eisenstein seriesheat operatorPetersson inner productRankin convolutionRankin's methodbilinear bracket operators

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Jacobi forms (11F50) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (6)

Rankin-Cohen brackets on Jacobi forms and the adjoint of some linear maps ⋮ Differential operators on Hilbert modular forms ⋮ Rankin–Cohen brackets of Jacobi forms and Jacobi Poincaré series ⋮ RANKIN’S METHOD AND JACOBI FORMS OF SEVERAL VARIABLES ⋮ Construction of Jacobi cusp forms ⋮ Differential operators on Jacobi forms and special values of certain Dirichlet series

Cites Work

• Unnamed Item
• Unnamed Item
• The theory of Jacobi forms
• Heegner points and derivatives of \(L\)-series. II
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• On the uniform convergence of Poincaré series of exponential type on Jacobi groups
• Jacobi forms and the heat operator
• Construction of Jacobi forms
• Estimates for Fourier coefficients of Siegel cusp forms

This page was built for publication: Rankin's method and Jacobi forms