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The Oppenheim series expansions and Hausdorff dimensions

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Publication:4484401
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DOI10.4064/aa107-4-4zbMath1049.11091OpenAlexW2081668660MaRDI QIDQ4484401

Jun Wu

Publication date: 12 June 2003

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa107-4-4


zbMATH Keywords

Hausdorff dimensionOppenheim expansionuniformly distributed modulo 1restricted Oppenheim expansion


Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)


Related Items (7)

On singularity of distribution of random variables with independent symbols of Oppenheim expansions ⋮ Localized growth speed of the digits in Engel expansions ⋮ On the growth speed of digits in Engel expansions ⋮ Arithmetic and metric properties of Oppenheim continued fraction expansions ⋮ On the exceptional sets in Sylvester expansions ⋮ Hausdorff dimension of some kind of alternating Oppenheim series expansion ⋮ The generalized oppenheim expansions for the direct product of non-Archimedean fields




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