Prime numbers in typical continued fraction expansions

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.

Detalles Bibliográficos
Autores principales: Schindler, Tanja I., Zweimüller, Roland
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10203034/
https://www.ncbi.nlm.nih.gov/pubmed/37229355
http://dx.doi.org/10.1007/s40574-023-00349-9
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author Schindler, Tanja I.
Zweimüller, Roland
author_facet Schindler, Tanja I.
Zweimüller, Roland
author_sort Schindler, Tanja I.
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description 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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spelling pubmed-102030342023-05-24 Prime numbers in typical continued fraction expansions Schindler, Tanja I. Zweimüller, Roland Boll Unione Mat Ital (2008) Article 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. Springer International Publishing 2023-02-28 2023 /pmc/articles/PMC10203034/ /pubmed/37229355 http://dx.doi.org/10.1007/s40574-023-00349-9 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Schindler, Tanja I.
Zweimüller, Roland
Prime numbers in typical continued fraction expansions
title Prime numbers in typical continued fraction expansions
title_full Prime numbers in typical continued fraction expansions
title_fullStr Prime numbers in typical continued fraction expansions
title_full_unstemmed Prime numbers in typical continued fraction expansions
title_short Prime numbers in typical continued fraction expansions
title_sort prime numbers in typical continued fraction expansions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10203034/
https://www.ncbi.nlm.nih.gov/pubmed/37229355
http://dx.doi.org/10.1007/s40574-023-00349-9
work_keys_str_mv AT schindlertanjai primenumbersintypicalcontinuedfractionexpansions
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