{"title":"On some uniformly distributed subsets of rationals","authors":"Vilius Stakėnas","doi":"10.1007/s10986-024-09641-3","DOIUrl":null,"url":null,"abstract":"<p>Subsets of rational numbers are specified as preimages of values of arithmetical functions. The uniformity of distribution of elements of these sets is proved and interpreted in the context of Diophantine approximation to real numbers.</p>","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":"46 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Lithuanian Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10986-024-09641-3","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Subsets of rational numbers are specified as preimages of values of arithmetical functions. The uniformity of distribution of elements of these sets is proved and interpreted in the context of Diophantine approximation to real numbers.
期刊介绍:
The Lithuanian Mathematical Journal publishes high-quality original papers mainly in pure mathematics. This multidisciplinary quarterly provides mathematicians and researchers in other areas of science with a peer-reviewed forum for the exchange of vital ideas in the field of mathematics.
The scope of the journal includes but is not limited to:
Probability theory and statistics;
Differential equations (theory and numerical methods);
Number theory;
Financial and actuarial mathematics, econometrics.