Characteristic twists of a Dirichlet series for Siegel cusp forms

DOI10.1007/BF02570489zbMath0879.11021MaRDI QIDQ1903530

Winfried Kohnen, Jyoti Sengupta, Aloys Krieg

Publication date: 1 December 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156102

zbMATH Keywords

functional equationDirichlet seriesSiegel modular formsHecke operatorstwists of the spinor zeta function

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)

Related Items (7)

KUDLA’S MODULARITY CONJECTURE AND FORMAL FOURIER–JACOBI SERIES ⋮ On characteristic twists of multiple Dirichlet series associated to Siegel cusp forms ⋮ A note on Fourier-Jacobi coefficients of Siegel modular forms ⋮ The functional equation for the twisted spinor \(L\)-series of genus 2 ⋮ Analytic properties of twisted real-analytic Hermitian Klingen type Eisenstein series and applications ⋮ On the Petersson inner products of Fourier–Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms ⋮ Some numerical computations concerning spinor zeta functions in genus $\boldsymbol{2}$ at the central point

Cites Work

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• Über Kernfunktionen für Jacobiformen und Siegelsche Modulformen. (Kernel functions for Jacobi forms and Siegel modular forms)
• Jacobi forms of higher degree
• Modular forms on half-spaces of quaternions
• A certain Dirichlet series attached to Siegel modular forms of degree two
• Metrisierungstheorie und Jacobiformen. (Metrization theory and Jacobi forms)
• ON CHARACTERISTIC TWISTS OF CERTAIN DIRICHLET SERIES
• Rankin-Selberg method for Siegel cusp forms
• A Dirichlet series for modular forms of degree n
• A Dirichlet series for Hermitian modular forms of degree 2

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