Some distribution results of the Oppenheim continued fractions

DOI10.1007/s00605-017-1050-1zbMath1381.11061OpenAlexW2605722226MaRDI QIDQ1675294

Yuanyang Chang, Ji-Hua Ma

Publication date: 27 October 2017

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-017-1050-1

zbMATH Keywords

uniform distribution modulo \(1\)Fréchet LawGauss-Kuzumin-Lévy type theoremgrowth rate of digitsOppenheim continued fraction

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70)

Related Items (2)

Convergence results for Oppenheim expansions. II ⋮ Continued fractions, the Chen–Stein method and extreme value theory

Cites Work

• Hitting time statistics and extreme value theory
• Basic properties of strong mixing conditions. A survey and some open questions
• Extremes and related properties of random sequences and processes
• Representations of real numbers by infinite series
• Arithmetic and metric properties of Oppenheim continued fraction expansions
• Some metrical theorems in number theory. II. - Errata
• Statistics of closest return for some non-uniformly hyperbolic systems
• A Fréchet law and an Erdős–Philipp law for maximal cuspidal windings
• Representations for real numbers and their ergodic properties
• A conjecture of Erdös on continued fractions
• THE DISTRIBUTION OF THE LARGEST COEFFICIENT IN CONTINUED FRACTION EXPANSIONS
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