Prime numbers in typical Continued Fraction Expansions

2022/09/09 by Schindler, Tanja I., Zweimüller, Roland · 1 citation
#11K50 #28D05 #37A25 #37A50 #37C30 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.04368

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.

Cited by

• Metric properties of continued fractions with large prime partial quotients

Related

• On the Continued Fraction Expansion of Almost All Real Numbers
• Continued fractions constructed from prime numbers
• The prime-counting Copeland-Erdős constant
• Digits of primes
• Defining the prime numbers prior to the integers: A first-principles approach to the distribution of primes