On a problem of Mahler and Szekeres on approximation by roots of integers

DOI10.1307/MMJ/1231770369zbMath1172.11023OpenAlexW2054817276MaRDI QIDQ1001953

Yann Bugeaud, Arturas Dubickas

Publication date: 20 February 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1231770369

zbMATH Keywords

Hausdorff dimensionPisot numbersproblem of Mahler and Szekeres

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Distribution modulo one (11J71) Diophantine approximation in probabilistic number theory (11K60)

Related Items (2)

Fractional parts of powers of real algebraic numbers ⋮ Metrical Results on the Distribution of Fractional Parts of Powers of Real Numbers

Cites Work

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• On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
• Répartition (mod 1) des puissances successives des nombres réels
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
• On the approximation of real numbers by roots of integers
• On the fractional parts of the powers of a rational number (II)
• Rational approximations to algebraic numbers
• Rational approximations to algebraic numbers

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