{"title":"关于$k$-元组的$\\lcm$的分布及相关问题","authors":"Sungjin Kim","doi":"10.7169/facm/2008","DOIUrl":null,"url":null,"abstract":"We study the distribution of the least common multiple of positive integers in N ∩ [1 , x ] and related problems. We refine some results of Hilberdink and T´oth (2016). We also give a partial result toward a conjecture of Hilberdink, Luca, and T´oth (2020).","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2021-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On the distribution of the $\\\\lcm$ of $k$-tuples and related problems\",\"authors\":\"Sungjin Kim\",\"doi\":\"10.7169/facm/2008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the distribution of the least common multiple of positive integers in N ∩ [1 , x ] and related problems. We refine some results of Hilberdink and T´oth (2016). We also give a partial result toward a conjecture of Hilberdink, Luca, and T´oth (2020).\",\"PeriodicalId\":44655,\"journal\":{\"name\":\"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-02-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7169/facm/2008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7169/facm/2008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the distribution of the $\lcm$ of $k$-tuples and related problems
We study the distribution of the least common multiple of positive integers in N ∩ [1 , x ] and related problems. We refine some results of Hilberdink and T´oth (2016). We also give a partial result toward a conjecture of Hilberdink, Luca, and T´oth (2020).