A decomposition theorem for numbers in which the summands have prescribed normality properties

DOI10.1016/0022-314X(86)90034-XzbMath0599.10046MaRDI QIDQ1080467

Gavin Brown, William Moran, Charles E. M. Pearce

Publication date: 1986

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

normal numbersmultiplicatively independent subsetsRiesz product measure

Mathematics Subject Classification ID

Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items (5)

Normality with respect to powers of a base ⋮ The discrimination theorem for normality to non-integer bases ⋮ Schmidt's conjecture on normality for commuting matrices ⋮ Normality in non-integer bases and polynomial time randomness ⋮ Feasible analysis, randomness, and base invariance

Cites Work

• On normal numbers
• The Hausdorff dimension of a set of normal numbers
• Nombres normaux applications aux fonctions pseudoaleatoires
• Normalität bezüglich zahlentheoretischer Transformationen
• On Weyl's criterion for uniform distribution
• On a problem of Steinhaus about normal numbers
• Über die Normalität von Zahlen zu verschiedenen Basen
• Riesz Products and Normal Numbers
• Probability measures with trivial Stam groups
• Normalität bezüglich Matrizen.
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