On the average size of the eigenvalues of the Hecke operators

IF 0.5 4区 数学 Q3 MATHEMATICS
William Cason, Akash Jim, Charlie Medlock, Erick Ross, Hui Xue
{"title":"On the average size of the eigenvalues of the Hecke operators","authors":"William Cason,&nbsp;Akash Jim,&nbsp;Charlie Medlock,&nbsp;Erick Ross,&nbsp;Hui Xue","doi":"10.1007/s00013-024-02089-4","DOIUrl":null,"url":null,"abstract":"<div><p>We determine the average size of the eigenvalues of the Hecke operators acting on the cuspidal modular forms space <span>\\(S_k(\\Gamma _0(N))\\)</span> in both the vertical and the horizontal perspective. The “average size” is measured via the quadratic mean.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"124 3","pages":"255 - 263"},"PeriodicalIF":0.5000,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00013-024-02089-4.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-024-02089-4","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

Abstract

We determine the average size of the eigenvalues of the Hecke operators acting on the cuspidal modular forms space \(S_k(\Gamma _0(N))\) in both the vertical and the horizontal perspective. The “average size” is measured via the quadratic mean.

求助全文
约1分钟内获得全文 求助全文
来源期刊
Archiv der Mathematik
Archiv der Mathematik 数学-数学
CiteScore
1.10
自引率
0.00%
发文量
117
审稿时长
4-8 weeks
期刊介绍: Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信