English

Prime numbers in typical Continued Fraction Expansions

Dynamical Systems 2022-09-29 v2

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.

Keywords

Cite

@article{arxiv.2209.04368,
  title  = {Prime numbers in typical Continued Fraction Expansions},
  author = {Tanja I. Schindler and Roland Zweimüller},
  journal= {arXiv preprint arXiv:2209.04368},
  year   = {2022}
}

Comments

16 pages

R2 v1 2026-06-28T01:01:29.525Z