Prime numbers in typical Continued Fraction Expansions

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.

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Veröffentlicht in:arXiv.org 2022-09
Hauptverfasser: Schindler, Tanja I, Zweimüller, Roland
Format: Artikel
Sprache:eng
Schlagworte:
Number theory
Prime numbers
Real numbers
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Beschreibung
Zusammenfassung: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.
ISSN:2331-8422