The Hecke operators on \(S_ k(\Gamma_ 1(N))\)
type: Item
instance of: scholarly article
title: The Hecke operators on \(S_ k(\Gamma_ 1(N))\)
zbMATH Open document ID: 0829.11024
published in: Journal of Symbolic Computation
publication date: 1995-04-04T00:00:00Z
review text: The Eichler-Shimura theorem in the cohomology of the modular group is used to develop an algorithm which computes a basis for the space \(S_k (\Gamma_1 (N))\) of cusp forms of integral weight \(k \geq 2\) for the congruence subgroup \(\Gamma_1 (N)\). Also, an algorithm is given for computing newforms. The paper contains tables of Fourier coefficients for newforms of weights 2 and 3 for some small levels \(N\).
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11-04
Mathematics Subject Classification ID: 11F25
Mathematics Subject Classification ID: 11F75
zbMATH DE Number: 740423
zbMATH Keywords: Hecke operators
zbMATH Keywords: space of cusp forms of integral weight
zbMATH Keywords: Eichler-Shimura theorem
zbMATH Keywords: algorithm
zbMATH Keywords: basis
zbMATH Keywords: congruence subgroup
zbMATH Keywords: newforms
zbMATH Keywords: tables of Fourier coefficients
author: Xiangdong Wang
reviewed by: Günter Köhler
MaRDI profile type: Publication
full work available at URL: jsco.1994.1043
OpenAlex ID: W2088553418
DOI: 10.1006/JSCO.1994.1043
description: scientific article; zbMATH DE number 740423