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Riesz products, Hausdorff dimension and normal numbers

Published online by Cambridge University Press:  24 October 2008

Gavin Brown ,
William Moran  and
Charles E. M. Pearce
Gavin Brown
Affiliation:
School of Mathematics, University of New South Wales
William Moran
Affiliation:
Department of Pure Mathematics, University of Adelaide
Charles E. M. Pearce
Affiliation:
Department of Applied Mathematics, University of Adelaide
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Extract

We say a real number x is normal to base r if the sequence is uniformly distributed modulo [0, 1]. Pollington[10] has proved the following result concerning the normality of numbers.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 101 , Issue 3 , May 1987 , pp. 529 - 540
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

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