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Typicality of normal numbers with respect to the Cantor series expansion

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Publication:416759
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zbMath1270.11076arXiv1010.2536MaRDI QIDQ416759

Bill Mance

Publication date: 10 May 2012

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2536


zbMATH Keywords

normal numbersCantor series


Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)


Related Items (7)

The Hausdorff dimension of sets of numbers defined by their \(Q\)-Cantor series expansions ⋮ The normality of digits in almost constant additive functions ⋮ Normality of different orders for Cantor series expansions ⋮ DESCRIPTIVE COMPLEXITY IN CANTOR SERIES ⋮ Borel complexity of sets of normal numbers via generic points in subshifts with specification ⋮ Number theoretic applications of a class of Cantor series fractal functions. I ⋮ On the Hausdorff dimension of countable intersections of certain sets of normal numbers







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