On simply normal numbers to different bases

DOI10.1007/s00208-015-1209-9zbMath1343.11065arXiv1311.0332OpenAlexW2055459469WikidataQ61927009 ScholiaQ61927009MaRDI QIDQ2634869

Theodore A. Slaman, Verónica Becher, Yann Bugeaud

Publication date: 10 February 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0332

zbMATH Keywords

Hausdorff dimensionnormal numbersdigital expansionsimple normality

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (3)

Normal Numbers and Computer Science ⋮ Computable absolutely normal numbers and discrepancies ⋮ M. Levin’s construction of absolutely normal numbers with very low discrepancy

Cites Work

• Note on normal numbers
• On normal numbers
• The Hausdorff dimension of a set of normal numbers
• On the expansions of a real number to several integer bases
• Normal \(k\)-tuples
• On the normality of numbers to different bases
• On a problem of Steinhaus about normal numbers
• Über die Normalität von Zahlen zu verschiedenen Basen
• Sets of Fractional Dimensions which Occur in Some Problems of Number Theory
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