{"title":"The first moment of quadratic Dirichlet L-functions at central values","authors":"Tingting Wen","doi":"10.1007/s10986-024-09628-0","DOIUrl":null,"url":null,"abstract":"<p>We obtain an asymptotic formula for the smoothly weighted first moment of quadratic Dirichlet <i>L</i>-functions at central values, with explicit main terms and an error term that is “square-root” of the main term.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10986-024-09628-0","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
We obtain an asymptotic formula for the smoothly weighted first moment of quadratic Dirichlet L-functions at central values, with explicit main terms and an error term that is “square-root” of the main term.