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Liouville numbers and normal numbers

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Publication:699217
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DOI10.1016/S1631-073X(02)02456-1zbMath1006.11043MaRDI QIDQ699217

Yann Bugeaud

Publication date: 4 December 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)


zbMATH Keywords

normal numbersLiouville numbers


Mathematics Subject Classification ID

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


Related Items (7)

On Liouville Numbers: Yet Another Application of Functional Analysis to Number Theory ⋮ Normality and finite-state dimension of Liouville numbers ⋮ Normal Numbers and Computer Science ⋮ Liouville, computable, Borel normal and Martin-Löf random numbers ⋮ A computable absolutely normal Liouville number ⋮ A fresh look at the notion of normality ⋮ Liouville numbers and the computational complexity of changing bases



Cites Work

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  • On a theorem of Kaufman: Cantor-type construction of linear fractal Salem sets
  • On Weyl's criterion for uniform distribution
  • Continued fractions and Fourier transforms
  • On the theorem of Jarník and Besicovitch
  • On approximation with algebraic numbers of bounded degree
  • Liouville numbers, Rajchman measures, and small Cantor sets


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