{"title":"On summatory functions of additive functions and regular variation","authors":"A. Ivi'c","doi":"10.2298/PIM0271027I","DOIUrl":null,"url":null,"abstract":"An overview of results and problems concerning the asymptotic behaviour for summatory functions of a certain class of additive functions is given. The class of functions in question involves regular variation. Some new Abelian and Tauberian results for additive functions of the form F(n)=Sigma ah(p), p^alpha||n, are obtained. .","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publications De L'institut Mathematique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/PIM0271027I","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
An overview of results and problems concerning the asymptotic behaviour for summatory functions of a certain class of additive functions is given. The class of functions in question involves regular variation. Some new Abelian and Tauberian results for additive functions of the form F(n)=Sigma ah(p), p^alpha||n, are obtained. .
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