On Gauss-Kuz'min statistics for finite continued fractions

DOI10.1007/s10958-007-0391-zzbMath1180.11027OpenAlexW2069089518MaRDI QIDQ950805

Alexey Ustinov

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0391-z

zbMATH Keywords

finite continued fractionsGauss-Kuz'min statistics

Mathematics Subject Classification ID

Continued fractions (11A55) Metric theory of continued fractions (11K50) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (1)

Spin chains and Arnold's problem on the Gauss-Kuz'min statistics for quadratic irrationals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the statistical properties of finite continued fractions
• Evaluation of Porter's constant
• Dynamics of the binary Euclidean algorithm: Functional analysis and operators
• Euclidean algorithms are Gaussian
• Fermat dynamics, matrix arithmetics, finite circles, and finite Lobachevsky planes
• On a theorem of Heilbronn
• On the average length of finite continued fractions
• The number of steps in the Euclidean algorithm
• The number of steps in the Euclidean algorithm

This page was built for publication: On Gauss-Kuz'min statistics for finite continued fractions