A generalization of Gauss-Kuzmin-Lévy theorem

DOI10.1016/S0252-9602(18)30796-3zbMath1438.11107arXiv1705.02921OpenAlexW2963519072MaRDI QIDQ2313123

Yanyan Li

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02921

zbMATH Keywords

Hurwitz zeta functiontransfer operatorGauss transformationGauss' problem

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (1)

A generalization of the Gauss-Kuzmin-Wirsing constant

Cites Work

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• Dependence with complete connections and the Gauss-Kuzmin theorem for \(N\)-continued fractions
• Ergodicity of \(N\)-continued fraction expansions
• Shrinking the period lengths of continued fractions while still capturing convergents
• Metric properties of N-continued fractions

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