Some asymptotic results on digits of the nearest integer continued fraction

DOI10.1016/0022-314X(86)90011-9zbMath0563.28011MaRDI QIDQ1057384

Sofía Kalpazidou

Publication date: 1986

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

asymptotic formulas on the digits of the nearest integer continued fractiongeometric mean of partial denominatorsstochastic dependence with complete connections

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Probabilistic measure theory (60A10) Continued fractions and generalizations (11J70) Continued fractions (11A55)

Related Items (3)

ON THE ASYMPTOTIC BEHAVIOUR OF THE DIGITS OF CONTINUED FRACTIONS WITH ODD PARTIAL QUOTIENTS ⋮ On G-continued fractions with identically distributed rests ⋮ A Gaussian Measure for Certain Continued Fractions

Cites Work

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• Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung
• Representations for real numbers and their ergodic properties
• The metrical theory of continued fractions to the nearer integer
• Mischung und Ergodizität bei Kettenbrüchen nach nächsten Ganzen.

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