Prime numbers in typical continued fraction expansions-Reference-Cited by-同舟云学术

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Prime numbers in typical continued fraction expansions

Published:2023-02-28 Issue:2 Volume:16 Page:259-274
ISSN:1972-6724
Container-title:Bollettino dell'Unione Matematica Italiana
language:en
Short-container-title:Boll Unione Mat Ital

Author:

Schindler Tanja I.^ORCID,Zweimüller Roland^ORCID

Abstract

AbstractWe 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.

Funder

Austrian Science Fund

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40574-023-00349-9.pdf

Reference25 articles.

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2. Aaronson, J., Nakada, H.: Trimmed sums for non-negative, mixing stationary processes. Stoch. Proc. Appl. 104, 173–192 (2003). https://doi.org/10.1017/S0143385704001051

3. Aaronson, J., Thaler, M., Zweimüller, R.: Occupation times of sets of infinite measure for ergodic transformations. Ergod. Theory Dynam. Sys. 25, 959–976 (2005). https://doi.org/10.1017/S0143385704001051

4. Baker, R.C., Harman, G., Pintz, J.: The difference between consecutive primes. II. Proc. Lond. Math. Soc. 83, 532–562 (2001). https://doi.org/10.1112/plms/83.3.532

5. Bernstein, F.: Über eine Anwendung der Mengenlehre auf ein aus der Theorie der säkularen Störungen herrührendes Problem. Math. Ann. 71, 417–439 (1911). https://doi.org/10.1007/BF01456856

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