On a problem of Gauss-Kuzmin type for continued fraction with odd partial quotients

DOI10.2140/PJM.1986.123.103zbMath0563.28012OpenAlexW2056014713MaRDI QIDQ1057385

Sofía Kalpazidou

Publication date: 1986

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.123.103

zbMATH Keywords

continued fractionergodic behaviour of a certain homogeneous random system with complete connectionsGauss-Kuzmin problem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Continued fractions (11A55) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (6)

Systems of functional equations and generalizations of certain functions ⋮ Some asymptotic results for the continued fraction expansions with odd partial quotients ⋮ On a Gauss-Kuzmin-type problem for a generalized Gauss-Kuzmin operator ⋮ A Gauss-Kuzmin-type problem for a family of continued fraction expansions ⋮ Dependence with complete connections and the Gauss-Kuzmin theorem for \(N\)-continued fractions ⋮ Distribution of the reduced quadratic irrationals arising from the odd continued fraction expansion

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