{"title":"二次迪里夏特 L 函数中心值的第一矩","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":"{\"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}","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
摘要
我们得到了二次迪里夏特 L 函数在中心值处的平滑加权第一矩的渐近公式，其中有明确的主项和主项的 "平方根 "误差项。
The first moment of quadratic Dirichlet L-functions at central values
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.
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