{"title":"On Sums Of Coefficients Of Maass Forms For SL(3, ℤ)","authors":"Wenguang Zhai","doi":"10.1093/qmath/haab012","DOIUrl":null,"url":null,"abstract":"Let f be a Maass form for \n<tex>$SL(3,{\\mathbb{Z}})$</tex>\n with coefficients A\n<inf>f</inf>\n(m, n). The aim of this paper is to study the asymptotic behaviour of the sum \n<tex>$\\sum_{m\\leqslant x,n\\leqslant y}|A_f(m,n)|^2$</tex>\n and some other related sums.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/qmath/haab012","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quarterly Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://ieeexplore.ieee.org/document/9690933/","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
Let f be a Maass form for
$SL(3,{\mathbb{Z}})$
with coefficients A
f
(m, n). The aim of this paper is to study the asymptotic behaviour of the sum
$\sum_{m\leqslant x,n\leqslant y}|A_f(m,n)|^2$
and some other related sums.
期刊介绍:
The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.