{"title":"Quadratic characters with positive partial sums","authors":"A. B. Kalmynin","doi":"10.1112/mtk.12179","DOIUrl":null,"url":null,"abstract":"<p>Let <math>\n <semantics>\n <msup>\n <mi>L</mi>\n <mo>+</mo>\n </msup>\n <annotation>$\\mathcal{L}^+$</annotation>\n </semantics></math> be the set of all primes <i>p</i> for which the sums of <math>\n <semantics>\n <mrow>\n <mo>(</mo>\n <mfrac>\n <mi>n</mi>\n <mi>p</mi>\n </mfrac>\n <mo>)</mo>\n </mrow>\n <annotation>$(\\frac{n}{p})$</annotation>\n </semantics></math> over the interval [1, <i>N</i>] are non-negative for all <i>N</i>. We prove that the estimate\n\n </p>","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2022-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematika","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/mtk.12179","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 3
Abstract
Let be the set of all primes p for which the sums of over the interval [1, N] are non-negative for all N. We prove that the estimate
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Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.
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