{"title":"一些具有固定阶次特征的基元狄利克特 L 函数中心值的第一矩","authors":"Peng Gao , Liangyi Zhao","doi":"10.1016/j.jnt.2024.02.007","DOIUrl":null,"url":null,"abstract":"<div><p>We evaluate asymptotically the smoothed first moment of central values of families of primitive cubic, quartic and sextic Dirichlet <em>L</em>-functions, using the method of double Dirichlet series. Quantitative non-vanishing results for these <em>L</em>-values are also proved.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0022314X24000593/pdfft?md5=c656b9f6699652bcf486164c0e6e9b26&pid=1-s2.0-S0022314X24000593-main.pdf","citationCount":"0","resultStr":"{\"title\":\"First moment of central values of some primitive Dirichlet L-functions with fixed order characters\",\"authors\":\"Peng Gao , Liangyi Zhao\",\"doi\":\"10.1016/j.jnt.2024.02.007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We evaluate asymptotically the smoothed first moment of central values of families of primitive cubic, quartic and sextic Dirichlet <em>L</em>-functions, using the method of double Dirichlet series. Quantitative non-vanishing results for these <em>L</em>-values are also proved.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0022314X24000593/pdfft?md5=c656b9f6699652bcf486164c0e6e9b26&pid=1-s2.0-S0022314X24000593-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022314X24000593\",\"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://www.sciencedirect.com/science/article/pii/S0022314X24000593","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
First moment of central values of some primitive Dirichlet L-functions with fixed order characters
We evaluate asymptotically the smoothed first moment of central values of families of primitive cubic, quartic and sextic Dirichlet L-functions, using the method of double Dirichlet series. Quantitative non-vanishing results for these L-values are also proved.
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