scientific article; zbMATH DE number 203003

zbMath0783.11023MaRDI QIDQ4694937

Winfried Kohnen

Publication date: 16 June 1993

Full work available at URL: http://www.numdam.org/item?id=CM_1993__87_2_231_0

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zbMATH Keywords

Fourier-Jacobi expansionKloosterman sumsSiegel modular formsJacobi formestimates of Fourier coefficients

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30)

Related Items (12)

Evaluating Igusa functions ⋮ On the growth of Fourier coefficients of Siegel cusp forms of degree two ⋮ A generalization of Kohnen's estimates for Fourier coefficients of Siegel cusp forms ⋮ Improved bounds for Fourier coefficients of Siegel modular forms ⋮ Rankin-Cohen brackets on Siegel modular forms and special values of certain Dirichlet series ⋮ ON FUNDAMENTAL FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS OF DEGREE 2 ⋮ Estimates for the Fourier coefficients of the Duke-Imamoglu-Ikeda lift ⋮ Additive twists of \(L^2\)-norm of Fourier-Jacobi coefficients of Siegel cusp forms ⋮ Fourier coefficients of Siegel cusp forms and genera of quadratic forms ⋮ Estimates for Fourier coefficients of Siegel cusp forms ⋮ Petersson norms of not necessarily cuspidal Jacobi modular forms and applications ⋮ Level aspect of simultaneous nonvanishing for the central 𝐿-values associated to cusp forms

Cites Work

• Unnamed Item
• The theory of Jacobi forms
• Fourier coefficients of modular forms of half-integral weight
• Fourier coefficients of Siegel cusp forms of genus n
• Heegner points and derivatives of \(L\)-series. II
• A certain Dirichlet series attached to Siegel modular forms of degree two
• On zeta functions associated with prehomogeneous vector spaces
• On Fourier coefficients of Siegel modular forms.
• Fourier coefficients of Siegel cusp forms of degree two

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