A note on Siegel modular forms
type: Item
instance of: scholarly article
title: A note on Siegel modular forms
zbMATH Open document ID: 0960.11029
DOI: 10.1007/BF02908766
author: Juping Wang
published in: Science in China. Series A
publication date: 2000-11-16T00:00:00Z
review text: There are classical results due to Siegel and Eichler saying that a Siegel cusp form vanishes identically whenever sufficiently many Fourier [resp. Fourier-Jacobi] coefficients vanish. A recent generalization was given by \textit{C. Poor} and \textit{D. S. Yuen} [Abh. Math. Semin. Univ. Hamb. 66, 337-354 (1996; Zbl 0867.11033)]. In the paper under review the author derives analogous results for Siegel modular forms and congruence subgroups as well as associated characters.
Mathematics Subject Classification ID: 11F46
Mathematics Subject Classification ID: 11F30
Mathematics Subject Classification ID: 11F50
zbMATH DE Number: 1531268
zbMATH Keywords: Fourier coefficients
zbMATH Keywords: Fourier-Jacobi coefficients
zbMATH Keywords: Siegel modular forms
zbMATH Keywords: congruence subgroups
reviewed by: Aloys Krieg
MaRDI profile type: Publication
cites work: Über die Anzahl der linear unabhängigen Siegelschen Modulformen von gegebenem Gewicht
cites work: Estimates for dimensions of spaces of Siegel modular cusp forms
cites work: Modular forms on half-spaces of quaternions
cites work: The theory of Jacobi forms
description: scientific article; zbMATH DE number 1531268