Newforms of half-integral weight and the twisting operators
type: Item
instance of: scholarly article
title: Newforms of half-integral weight and the twisting operators
zbMATH Open document ID: 0726.11028
author: Masaru Ueda
published in: Proceedings of the Japan Academy. Series A
publication date: 1990-01-01T00:00:00Z
review text: Using his result of trace relations of the twisting operators on the space of cusp forms of half-integral weight \(S(k+1/2,N,\chi)\) and on the Kohnen subspace \(S(k+1/2,N,\chi)_ k\) (see the preceding review), the author decomposes the spaces \(S(k+1/2,N,\chi)\) and \(S(k+1/2,N,\chi)_ k\) into subspace of ``newforms'' which correspond in one to one way to a system of eigenvalues for Hecke operators. The details will appear elsewhere.
reviewed by: Dingyi Pei
Mathematics Subject Classification ID: 11F37
Mathematics Subject Classification ID: 11F25
zbMATH DE Number: 4198087
zbMATH Keywords: twisting operators
zbMATH Keywords: cusp forms of half-integral weight
zbMATH Keywords: Kohnen subspace
zbMATH Keywords: newforms
zbMATH Keywords: eigenvalues for Hecke operators
MaRDI profile type: Publication
full work available at URL: pjaa.66.173
OpenAlex ID: W2025133785
cites work: Q4693061
cites work: Trace formula of certain Hecke operators for Γ0(qν)
cites work: The decomposition of the spaces of cusp forms of half-integral weight and trace formula of Hecke operators
cites work: Some trace relations of twisting operators on the spaces of cusp forms of half-integral weight
cites work: Q3979925
cites work: On twisting operators and newforms of half-integral weight
DOI: 10.3792/PJAA.66.173
description: scientific article; zbMATH DE number 4198087