{"title":"On the error term in a mixed moment of L-functions","authors":"Rizwanur Khan, Zeyuan Zhang","doi":"arxiv-2401.01556","DOIUrl":null,"url":null,"abstract":"There has recently been some interest in optimizing the error term in the\nasymptotic for the fourth moment of Dirichlet L-functions and a closely related\nmixed moment of L-functions involving automorphic L-functions twisted by\nDirichlet characters. We obtain an improvement for the error term of the\nlatter.","PeriodicalId":501064,"journal":{"name":"arXiv - MATH - Number Theory","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2401.01556","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
There has recently been some interest in optimizing the error term in the
asymptotic for the fourth moment of Dirichlet L-functions and a closely related
mixed moment of L-functions involving automorphic L-functions twisted by
Dirichlet characters. We obtain an improvement for the error term of the
latter.