{"title":"On certain rational perfect numbers, II","authors":"J. Sándor","doi":"10.7546/nntdm.2022.28.3.525-532","DOIUrl":null,"url":null,"abstract":"We continue the study from [1], by studying equations of type $\\psi(n) = \\dfrac{k+1}{k} \\cdot \\ n+a,$ $a\\in \\{0, 1, 2, 3\\},$ and $\\varphi(n) = \\dfrac{k-1}{k} \\cdot \\ n-a,$ $a\\in \\{0, 1, 2, 3\\}$ for $k > 1,$ where $\\psi(n)$ and $\\varphi(n)$ denote the Dedekind, respectively Euler's, arithmetical functions.","PeriodicalId":44060,"journal":{"name":"Notes on Number Theory and Discrete Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notes on Number Theory and Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/nntdm.2022.28.3.525-532","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We continue the study from [1], by studying equations of type $\psi(n) = \dfrac{k+1}{k} \cdot \ n+a,$ $a\in \{0, 1, 2, 3\},$ and $\varphi(n) = \dfrac{k-1}{k} \cdot \ n-a,$ $a\in \{0, 1, 2, 3\}$ for $k > 1,$ where $\psi(n)$ and $\varphi(n)$ denote the Dedekind, respectively Euler's, arithmetical functions.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
