Powers of a rational number modulo 1 cannot lie in a small interval

DOI10.4064/AA137-3-4zbMath1245.11082OpenAlexW2008102779MaRDI QIDQ3618464

Arturas Dubickas

Publication date: 1 April 2009

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa137-3-4

zbMATH Keywords

fractional partSturmian sequenceMahler's \(Z\)-numbers

Mathematics Subject Classification ID

Combinatorics on words (68R15) Distribution modulo one (11J71)

Related Items (6)

Squares and cubes in Sturmian sequences ⋮ Fractional parts of powers of large rational numbers ⋮ Gap statistics and higher correlations for geometric progressions modulo one ⋮ Powers of rational numbers modulo 1 lying in short intervals ⋮ Exceptional parameters of linear mod one transformations and fractional parts \(\{ \xi (p/q)^n \}\) ⋮ Binary words with a given Diophantine exponent

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