Sequences that omit a box (modulo 1)

DOI10.1016/j.aim.2011.03.020zbMath1235.11075OpenAlexW2001788313MaRDI QIDQ549209

Roger C. Baker

Publication date: 7 July 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.03.020

zbMATH Keywords

Hausdorff metricHausdorff dimensionexponential sumDistribution modulo one

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Irregularities of distribution, discrepancy (11K38) Special sequences (11K31)

Related Items (1)

One-sided band-limited approximations of some radial functions

Cites Work

• Density modulo 1 of dilations of sublacunary sequences
• Sur les mauvaises répartitions modulo 1
• Un théorème de finitude
• Asymptotically Dense Dilations of Sets on the Circle
• Numbers contravening a condition in density modulo 1
• Hausdorff dimension, orthogonal projections and intersections with planes
• Note on a Diophantine inequality in several variables
• Density of Integer Sequences
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
• On the density of sequences \(\{n_k\xi\}\)
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