{"title":"划分素数集以建立一致分布模[0,1)r的r维序列","authors":"J. De Koninck, I. Kátai","doi":"10.2478/udt-2019-0002","DOIUrl":null,"url":null,"abstract":"Abstract Expanding on our previous results, we show that by partitioning the set of primes into a finite number of subsets of roughly the same size, we can create r-dimensional sequences of real numbers which are uniformly distributed modulo [0, 1)r.","PeriodicalId":23390,"journal":{"name":"Uniform distribution theory","volume":"7 1","pages":"11 - 18"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Partitioning the Set of Primes to Create r-Dimensional Sequences Which are Uniformly Distributed Modulo [0, 1)r\",\"authors\":\"J. De Koninck, I. Kátai\",\"doi\":\"10.2478/udt-2019-0002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Expanding on our previous results, we show that by partitioning the set of primes into a finite number of subsets of roughly the same size, we can create r-dimensional sequences of real numbers which are uniformly distributed modulo [0, 1)r.\",\"PeriodicalId\":23390,\"journal\":{\"name\":\"Uniform distribution theory\",\"volume\":\"7 1\",\"pages\":\"11 - 18\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Uniform distribution theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/udt-2019-0002\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Uniform distribution theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/udt-2019-0002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Partitioning the Set of Primes to Create r-Dimensional Sequences Which are Uniformly Distributed Modulo [0, 1)r
Abstract Expanding on our previous results, we show that by partitioning the set of primes into a finite number of subsets of roughly the same size, we can create r-dimensional sequences of real numbers which are uniformly distributed modulo [0, 1)r.