On fractional parts of powers of real numbers close to 1

DOI10.1007/s00209-011-0881-zzbMath1246.11134arXiv1009.4528OpenAlexW2102770929MaRDI QIDQ444175

Yann Bugeaud, Nikolay G. Moshchevitin

Publication date: 13 August 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4528

zbMATH Keywords

Hausdorff dimensiondistribution modulo 1Peres-Schlag method

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Special sequences (11K31)

Related Items (5)

Metrical Results on the Distribution of Fractional Parts of Powers of Real Numbers ⋮ Quantitative uniform distribution results for geometric progressions ⋮ On the pair correlations of powers of real numbers ⋮ Equidistribution results for sequences of polynomials ⋮ Divisibility of integers obtained from truncated periodic sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Badly approximable numbers and Littlewood-type problems
• Two Erdős problems on lacunary sequences: Chromatic number and Diophantine approximation
• On the Powers of Some Transcendental Numbers

This page was built for publication: On fractional parts of powers of real numbers close to 1