A note on eigenvalues of Hecke operators on Siegel modular forms of degree two

Winfried Kohnen

Type: Article

Publication Date: 1991-03-01

Citations: 7

DOI: https://doi.org/10.1090/s0002-9939-1991-1068125-2

Abstract

Let F be a cuspidal Hecke eigenform of even weight k on Sp4(Z) with associated eigenvalues Xm (m e N).Under the assumption that its first Fourier-Jacobi coefficient does not vanish it is proved that the abscissa of convergence of the Dirichlet series J2m>¡ \*-m\m~S *s 'ess tnan or eQual to k ■

Locations

Proceedings of the American Mathematical Society - View - PDF

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+	Estimating Hecke eigenvalues of Siegel modular forms	1992	William Duke Roger Howe J.-S. Li
+	Ramanujan-type results for Siegel cusp forms of degree 2	2009	Ameya Pitale Ralf Schmidt
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+	On the convergence of spinor zeta functions attached to Hecke eigenforms on Sp4(ℤ)	1994	Winfried Kohnen
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+ PDF Chat	Fourier coefficients of Siegel cusp forms of degree two	1984	Yoshiyuki Kitaoka
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+	THE ACTION OF MODULAR OPERATORS ON THE FOURIER-JACOBI COEFFICIENTS OF MODULAR FORMS	1984	Valery Gritsenko
+	A CHARACTERIZATION OF THE MAASS SPACE OF SIEGEL CUSP FORMS OF SECOND DEGREE	1981	С. А. Евдокимов
+	EULER PRODUCTS CORRESPONDING TO SIEGEL MODULAR FORMS OF GENUS 2	1974	Anatoli Andrianov
+	Das Vertauschungsgesetz zwischen Hecke-Operatoren und dem Siegelschen?-Operator	1986	Aloys Krieg
+	�ber Kernfunktionen f�r Jacobiformen und Siegelsche Modulformen	1989	Helmut Klingen
+	A certain Dirichlet series attached to Siegel modular forms of degree two	1989	Winfried Kohnen Nils-Peter Skoruppa
+	On the poles of AndrianovL-functions	1981	Takayuki Oda
+ PDF Chat	Computations of Siegel Modular Forms of Genus Two	1992	Nils-Peter Skoruppa