Metrical results on normality to distinct bases
type: Item
instance of: scholarly article
title: Metrical results on normality to distinct bases
zbMATH Open document ID: 0834.11031
author: W. Moran
author: Andrew D. Pollington
published in: Journal of Number Theory
publication date: 1996-03-31T00:00:00Z
review text: The normality of a real number is equivalent to a uniform distribution property which allows the notion of normality to be extended from integer bases to non-integer bases. The authors consider normality to distinct non-integer bases using Riesz products and show that, in contrast to the case of integer bases, for almost all real numbers \(\theta >3\), normality to the base \(\theta^k\) does not imply normality to base \(\theta^l\) unless \(l=k\).
Mathematics Subject Classification ID: 11K16
zbMATH DE Number: 809116
zbMATH Keywords: normality to distinct non-integer bases
zbMATH Keywords: Riesz products
zbMATH Keywords: real numbers
reviewed by: M. M. Dodson
MaRDI profile type: Publication
full work available at URL: jnth.1995.1110
OpenAlex ID: W1992783633
DOI: 10.1006/JNTH.1995.1110
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description: scientific article; zbMATH DE number 809116