The discrimination theorem for normality to non-integer bases

DOI10.1007/BF02773647zbMath0884.11032OpenAlexW2002062485MaRDI QIDQ1366958

William Moran, Andrew D. Pollington

Publication date: 1 April 1998

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773647

zbMATH Keywords

normalitynon-integer basesRiesz products

Mathematics Subject Classification ID

Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items

Normality with respect to powers of a base, Normal numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On normal numbers
• A decomposition theorem for numbers in which the summands have prescribed normality properties
• Normality with respect to powers of a base
• A problem in multi-index normality
• Schmidt's conjecture on normality for commuting matrices
• Metrical results on normality to distinct bases
• Riesz products, Hausdorff dimension and normal numbers
• Normal numbers from independent processes
• 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