THE HAUSDORFF DIMENSION OF CERTAIN SETS RELATED TO SEQUENCES WHICH ARE NOT DENSE MOD 1

DOI10.1093/qmath/31.3.351zbMath0444.10045OpenAlexW1971900340MaRDI QIDQ3887551

Andrew D. Pollington

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1093/qmath/31.3.351

zbMATH Keywords

Hausdorff dimensionuniform distributionsequence of real numbersnumber theoretic sets

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) General theory of distribution modulo (1) (11K06)

Related Items (2)

Metrical Results on the Distribution of Fractional Parts of Powers of Real Numbers ⋮ Two exceptional classes of real numbers

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