Approximations of real numbers by the sequence \(\{\) n\(\alpha\) \(\}\) and their metrical theory

DOI10.1007/BF01952484zbMath0657.10034MaRDI QIDQ1110569

Hitoshi Nakada, Shunji Ito

Publication date: 1988

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

limit theoremsseries representationmetric resultssimple continued fraction expansionirrational real number

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

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Dynamical directions in numeration ⋮ IP-rigidity and eigenvalue groups ⋮ Invariance properties of Sturmian words ⋮ Dynamics of Ostrowski skew-product: 1. Limit laws and Hausdorff dimensions ⋮ Numeration and discrete dynamical systems ⋮ On multiple ergodicity of affine cocycles over irrational rotations

Cites Work

• Unnamed Item
• Some skew product transformations associated with continued fractions and their invariant measures
• Some metrical theorems in number theory
• Some remarks on Kuzmin's theorem for F-expansions
• Irregularities of uniform distribution
• On a generalization of a theorem of Borel

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