{"title":"Linear independence criteria for generalized polylogarithms with distinct shifts","authors":"Sinnou David, Noriko Hirata-Kohno, M. Kawashima","doi":"10.4064/aa220307-18-10","DOIUrl":null,"url":null,"abstract":"For a given rational number x and an integer s ≥ 1 , let us consider a generalized polylogarithmic function, often called the Lerch function, defined by","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Arithmetica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4064/aa220307-18-10","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 5
Abstract
For a given rational number x and an integer s ≥ 1 , let us consider a generalized polylogarithmic function, often called the Lerch function, defined by
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