{"title":"On the geometric mean of the values of positive multiplicative arithmetical functions","authors":"M. Hassani, M. Esfandiari","doi":"10.46298/cm.10133","DOIUrl":null,"url":null,"abstract":"In this paper we obtain asymptotic expansion for the geometric mean of the\nvalues of positive strongly multiplicative function $f$ satisfying\n$f(p)=\\alpha(d)\\,p^d+O(p^{d-\\delta})$ for any prime $p$ with $d$ real and\n$\\alpha(d),\\delta>0$.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/cm.10133","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper we obtain asymptotic expansion for the geometric mean of the
values of positive strongly multiplicative function $f$ satisfying
$f(p)=\alpha(d)\,p^d+O(p^{d-\delta})$ for any prime $p$ with $d$ real and
$\alpha(d),\delta>0$.
期刊介绍:
Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.