Normality with respect to powers of a base
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Publication:1362075
DOI10.1215/S0012-7094-97-08809-8zbMath0887.11033MaRDI QIDQ1362075
Gavin Brown, Andrew D. Pollington, William Moran
Publication date: 18 September 1997
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) General theory of distribution modulo (1) (11K06)
Related Items (4)
The discrimination theorem for normality to non-integer bases ⋮ Normal numbers ⋮ On the Normality of Arithmetical Constants ⋮ Unnamed Item
Cites Work
- On normal numbers
- A decomposition theorem for numbers in which the summands have prescribed normality properties
- Ensembles intersectifs et récurrence de Poincaré. (Intersective sets and Poincaré recurrence)
- The Hausdorff dimension of a set of normal numbers
- Van der Corput's difference theorem
- The discrimination theorem for normality to non-integer bases
- Metrical results on normality to distinct bases
- A Fourier method in diophantine problems
- Nombres normaux applications aux fonctions pseudoaleatoires
- Complements of finite sets of integers
- On Weyl's criterion for uniform distribution
- Normal \(k\)-tuples
- On a problem of Steinhaus about normal numbers
- Über die Normalität von Zahlen zu verschiedenen Basen
- Riesz Products and Normal Numbers
- Développement en base $\theta$, répartition modulo un de la suite $(x\theta \sp n)$, n$\ge 0$, langages codés et $\theta$-shift
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