Zwei Grenzwertsätze für Kettenbrüche

DOI10.1007/BF01350634zbMath0164.05602OpenAlexW2911642159MaRDI QIDQ2529246

Walter Philipp, Olaf P. Stackelberg

Publication date: 1969

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/161825

zbMATH Keywords

continued fractionslimit theorems

Mathematics Subject Classification ID

Metric theory of continued fractions (11K50) Limit theorems in probability theory (60F99)

Related Items (6)

On the extremal theory of continued fractions ⋮ A quantitative version of the theorem on Khintchine's constant ⋮ Beta-expansion and continued fraction expansion of real numbers ⋮ Some remarks on a probability limit theorem for continued fractions ⋮ Limit theorems related to beta-expansion and continued fraction expansion ⋮ Random continued fractions: Lévy constant and Chernoff-type estimate

Cites Work

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• Some metrical theorems in number theory
• On the law of the iterated logarithm for continued fractions
• On the Frequency of Small Fractional Parts in Certain Real Sequences
• Ein zentraler grenzwertsatz mit anwendungen auf die zahlentheorie

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