Non-vanishing of scalar products of Fourier-Jacobi coefficients of Siegel cusp forms

DOI10.1007/s002080050247zbMath0928.11022OpenAlexW1964197665MaRDI QIDQ1298121

Winfried Kohnen, Jan Hendrik Bruinier, Siegfried Böcherer

Publication date: 13 December 1999

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

Full work available at URL: https://doi.org/10.1007/s002080050247

zbMATH Keywords

Siegel modular formsSiegel modular groupnonvanishing of Hecke eigenvaluesPetersson scalar productsRankin-Dirichlet seriesscalar products of Fourier-Jacobi coefficientssimultaneous Hecke eigenform

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Jacobi forms (11F50)

Related Items (8)

On characteristic twists of multiple Dirichlet series associated to Siegel cusp forms ⋮ A note on Fourier-Jacobi coefficients of Siegel modular forms ⋮ Additive twists of \(L^2\)-norm of Fourier-Jacobi coefficients of Siegel cusp forms ⋮ The Maaß space for paramodular groups ⋮ On the uniqueness of Fourier Jacobi models for representations of 𝑈(𝑛,1) ⋮ Analytic properties of twisted real-analytic Hermitian Klingen type Eisenstein series and applications ⋮ Eigenform product identities for degree two Siegel modular forms ⋮ On the Petersson inner products of Fourier–Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms

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