Continued fraction and decimal expansions of an irrational number

DOI10.1016/j.aim.2005.10.007zbMath1156.11033OpenAlexW2034167479MaRDI QIDQ850020

Jun Wu

Publication date: 15 November 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2005.10.007

zbMATH Keywords

continued fractiondecimal expansionLévy constant

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Metric theory of continued fractions (11K50)

Related Items (13)

Random Lochs’ Theorem ⋮ Numeration and discrete dynamical systems ⋮ Hausdorff dimension of some sets in the theory of continued beta-fractions and its generalized continued fractions ⋮ Lochs-type theorems beyond positive entropy ⋮ Beta-expansion and continued fraction expansion of real numbers ⋮ Beta-expansion and continued fraction expansion over formal Laurent series ⋮ Beta-expansion and continued fraction expansion ⋮ An iterated logarithm law related to decimal and continued fraction expansions ⋮ HAUSDORFF DIMENSIONS OF SOME LIMINF SETS IN DIOPHANTINE APPROXIMATION ⋮ On the hitting depth in the dynamical system of continued fractions ⋮ Limit theorems related to beta-expansion and continued fraction expansion ⋮ A generalization of the Jarník–Besicovitch theorem by continued fractions ⋮ Random continued fractions: Lévy constant and Chernoff-type estimate

Cites Work

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• The Lévy constant of an irrational number
• On the growth of the denominators of convergents
• Transcendence of Sturmian or morphic continued fractions
• Vergleich der Genauigkeit von Dezimalbruch und Kettenbruch
• A remark on the growth of the denominators of convergents
• Die ersten 968 Kettenbruchnenner von \(\pi\)
• On simultaneous approximations of two algebraic numbers by rationals
• Distribution of Lévy constants for quadratic numbers

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