On the convergence of spinor zeta functions attached to Hecke eigenforms on \(Sp_ 4(\mathbb{Z} )\)

DOI10.1215/S0012-7094-94-07625-4zbMath0820.11031OpenAlexW2075678145MaRDI QIDQ1804664

Winfried Kohnen

Publication date: 14 September 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07625-4

zbMATH Keywords

convergenceeigenvaluesSiegel modular formHecke eigenformspinor zeta functionMaaß spaceFourier-Jacobi coefficientgeneralized Ramanujan-Petersson conjecture

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 (1)

On a convolution series attached to a Siegel Hecke cusp form of degree 2

Cites Work

• The theory of Jacobi forms
• A certain Dirichlet series attached to Siegel modular forms of degree two
• Estimating Hecke eigenvalues of Siegel modular forms
• On zeta functions associated with prehomogeneous vector spaces
• ON CHARACTERISTIC TWISTS OF CERTAIN DIRICHLET SERIES
• A Note on Eigenvalues of Hecke Operators on Siegel Modular Forms of Degree Two
• Computations of Siegel Modular Forms of Genus Two
• EULER PRODUCTS CORRESPONDING TO SIEGEL MODULAR FORMS OF GENUS 2

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