{"title":"整数n可被lω(n)整除的分布","authors":"F. Luca, A. Sankaranarayanan","doi":"10.2298/PIM0476089L","DOIUrl":null,"url":null,"abstract":"Let !(n) denote the number of distinct prime factors of the posi- tive integer n. We study the cardinality of the set fn x : l !(n) j ng, where l 2 is any arbitrary positive integer which is suciently small with respect to x.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"127 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"The distribution of integers n divisible by lω(n)\",\"authors\":\"F. Luca, A. Sankaranarayanan\",\"doi\":\"10.2298/PIM0476089L\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let !(n) denote the number of distinct prime factors of the posi- tive integer n. We study the cardinality of the set fn x : l !(n) j ng, where l 2 is any arbitrary positive integer which is suciently small with respect to x.\",\"PeriodicalId\":416273,\"journal\":{\"name\":\"Publications De L'institut Mathematique\",\"volume\":\"127 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Publications De L'institut Mathematique\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/PIM0476089L\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publications De L'institut Mathematique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/PIM0476089L","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
摘要
设!(n)表示正整数n的不同素数因子的个数。我们研究集合fn x: l !(n) jng的基数性,其中l2是任意相对于x足够小的正整数。
Let !(n) denote the number of distinct prime factors of the posi- tive integer n. We study the cardinality of the set fn x : l !(n) j ng, where l 2 is any arbitrary positive integer which is suciently small with respect to x.