{"title":"Divisibility among power matrices associated with multiplicative functions","authors":"Siao A. Hong, Guangyan Y. Zhu","doi":"10.1080/03081087.2024.2311257","DOIUrl":null,"url":null,"abstract":"Let a, b and n be positive integers and let S={x1,…,xn} be a set of n distinct positive integers. For x∈S, one defines GS(x)={y∈S:y<x,y|xand(y|z|x,z∈S)⇒z∈{y,x}}. For any arithmetic function f and a...","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/03081087.2024.2311257","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Let a, b and n be positive integers and let S={x1,…,xn} be a set of n distinct positive integers. For x∈S, one defines GS(x)={y∈S:y