{"title":"Prime numbers in typical continued fraction expansions.","authors":"Tanja I Schindler, Roland Zweimüller","doi":"10.1007/s40574-023-00349-9","DOIUrl":null,"url":null,"abstract":"<p><p>We study, from the viewpoint of metrical number theory and (infinite) ergodic theory, the probabilistic laws governing the occurrence of prime numbers as digits in continued fraction expansions of real numbers.</p>","PeriodicalId":72440,"journal":{"name":"Bollettino della Unione matematica italiana (2008)","volume":"16 2","pages":"259-274"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10203034/pdf/","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bollettino della Unione matematica italiana (2008)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s40574-023-00349-9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2023/2/28 0:00:00","PubModel":"Epub","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study, from the viewpoint of metrical number theory and (infinite) ergodic theory, the probabilistic laws governing the occurrence of prime numbers as digits in continued fraction expansions of real numbers.
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