Jacobi forms and Siegel modular forms: Recent results and problems

zbMath0787.11019MaRDI QIDQ1313395

Winfried Kohnen

Publication date: 24 May 1994

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

Jacobi formsopen problemsgrowth of Fourier coefficientsMaass SpezialscharAndrianov spinor zeta functionestimates for Fourier coefficientsKohnen-Skoruppa Dirichlet series of Rankin-typePetersson norm of Jacobi cusp formsSiegel modular forms of genus twoskew-holomorphic Jacobi forms

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) 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 (10)

Almost holomorphic Poincaré series corresponding to products of harmonic Siegel-Maass forms ⋮ On the characterization of skew-holomorphic Jacobi-forms ⋮ On the growth of Fourier coefficients of Siegel cusp forms of degree two ⋮ Kohnen's limit process for real-analytic Siegel modular forms ⋮ On Siegel paramodular forms corresponding to skew-holomorphic Jacobi cusp forms ⋮ On Fourier-Jacobi expansions of real analytic Eisenstein series of degree 2 ⋮ The skew-Maass lift. I: The case of harmonic Maass-Jacobi forms ⋮ Ramanujan–Petersson conjecture for Fourier–Jacobi coefficients of Siegel cusp forms ⋮ Jacobi and modular forms on symmetric domains ⋮ Dedekind symbols associated with J-forms and their reciprocity law.

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