On the growth of the Petersson norms of Fourier-Jacobi coefficients of Siegel cusp forms

DOI10.1112/blms/bdr005zbMath1225.11061OpenAlexW2053613200MaRDI QIDQ5199332

Winfried Kohnen

Publication date: 16 August 2011

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdr005

zbMATH Keywords

Siegel modular formsFourier-Jacobi coefficientsPetersson scalar product

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (8)

SIGN CHANGES OF FOURIER COEFFICIENTS OF ENTIRE MODULAR INTEGRALS ⋮ A note on Fourier-Jacobi coefficients of Siegel modular forms ⋮ Additive twists of \(L^2\)-norm of Fourier-Jacobi coefficients of Siegel cusp forms ⋮ Chaos for successive maxima map implies chaos for the original map ⋮ Analytic properties of twisted real-analytic Hermitian Klingen type Eisenstein series and applications ⋮ Ramanujan–Petersson conjecture for Fourier–Jacobi coefficients of Siegel cusp forms ⋮ On the Petersson inner products of Fourier–Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms ⋮ Sign changes of coefficients of certain Dirichlet series

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