Arithmetic and metric properties of Oppenheim continued fraction expansions

DOI10.1016/j.jnt.2006.12.016zbMath1210.11086OpenAlexW1994176636MaRDI QIDQ2469211

Jun Wu, Ai-Hua Fan, Bao-Wei Wang

Publication date: 4 February 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.12.016

zbMATH Keywords

metric propertyOppenheim continued fraction expansionOppenheim series expansion

Mathematics Subject Classification ID

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

Related Items (12)

On the exceptional sets in Sylvester continued fraction expansion ⋮ METRIC THEORY OF PARTIAL QUOTIENTS OF N-CONTINUED FRACTIONS ⋮ Hausdorff dimension of certain sets arising in Engel continued fractions ⋮ Convergence results for Oppenheim expansions. II ⋮ Some distribution results of the Oppenheim continued fractions ⋮ A note on approximation efficiency and partial quotients of Engel continued fractions ⋮ Some stochastic properties on the GCFϵ expansion when ϵ(kn) = cknτ + cknτ−1 ⋮ Large and moderate deviation principles for Engel continued fractions ⋮ Large and moderate deviations for modified Engel continued fractions ⋮ Convergence for weighted sums of Lüroth type random variables ⋮ Convergence results for Oppenheim expansions ⋮ Unnamed Item

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