{"title":"A NOTE ON THE ZEROS OF L-FUNCTIONS ASSOCIATED TO FIXED-ORDER DIRICHLET CHARACTERS","authors":"C. C. CORRIGAN","doi":"10.1017/s0004972723001156","DOIUrl":null,"url":null,"abstract":"<p>We use the Weyl bound for Dirichlet <span>L</span>-functions to derive zero-density estimates for <span>L</span>-functions associated to families of fixed-order Dirichlet characters. The results improve on previous bounds given by the author when <span><span><img data-mimesubtype=\"png\" data-type=\"\" src=\"https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20231216081215188-0622:S0004972723001156:S0004972723001156_inline1.png\"><span data-mathjax-type=\"texmath\"><span>$\\sigma $</span></span></img></span></span> is sufficiently distant from the critical line.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/s0004972723001156","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 use the Weyl bound for Dirichlet L-functions to derive zero-density estimates for L-functions associated to families of fixed-order Dirichlet characters. The results improve on previous bounds given by the author when $\sigma $ is sufficiently distant from the critical line.
$\sigma $ is sufficiently distant from the critical line.
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