Estimate for dispersion of lengths of continued fractions

DOI10.1007/s10958-007-0378-9zbMath1204.11016OpenAlexW2036455168MaRDI QIDQ950789

V. A. Bykovskii

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/s10958-007-0378-9

Mathematics Subject Classification ID

Continued fractions (11A55) Metric theory of continued fractions (11K50)

Related Items (3)

Modular hyperbolas ⋮ On the distribution of partial quotients of reduced fractions with fixed denominator ⋮ Spin chains and Arnold's problem on the Gauss-Kuz'min statistics for quadratic irrationals

Cites Work

• Unnamed Item
• On the statistical properties of finite continued fractions
• Euclidean algorithms are Gaussian
• Fermat dynamics, matrix arithmetics, finite circles, and finite Lobachevsky planes
• On a theorem of Heilbronn
• The number of steps in the Euclidean algorithm
• The number of steps in the Euclidean algorithm

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