THE ERGODIC PROPERTIES OF THE DENOMINATORS IN THE OPPENHEIM EXPANSION OF REAL NUMBERS INTO INFINITE SERIES OF RATIONALS

DOI10.1093/qmath/21.2.177zbMath0198.38104OpenAlexW1970710066MaRDI QIDQ5595278

Publication date: 1970

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/21.2.177

zbMATH Keywords

ergodic properties denominators infinite series of rationals Oppenheim expansion of real numbers

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)

Related Items (12)

Unnamed Item ⋮ Unnamed Item ⋮ Hausdorff dimensions of certain sets in terms of the Sylvester series ⋮ Convergence results for Oppenheim expansions. II ⋮ On singularity of distribution of random variables with independent symbols of Oppenheim expansions ⋮ How many points have the same Engel and Sylvester expansions? ⋮ Arithmetic and metric properties of Oppenheim continued fraction expansions ⋮ Gedämpfte zahlentheoretische Transformationen ⋮ Unnamed Item ⋮ The generalized oppenheim expansions for the direct product of non-Archimedean fields ⋮ Probabilistic theorems concerning expansions of real numbers ⋮ The Rate of Growth of the Denominators in the Oppenheim Series

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