ON THE FRACTIONAL PARTS OF RATIONAL POWERS

DOI10.1142/S1793042109002535zbMath1228.11104OpenAlexW1986828414MaRDI QIDQ3644240

Arturas Dubickas

Publication date: 3 November 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042109002535

zbMATH Keywords

\(Z\)-numberspowers of rational numbers modulo 1

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Distribution modulo one (11J71)

Related Items (2)

Arithmetical properties of linear recurrent sequences ⋮ Continuous distributions arising from the Three Gap Theorem

Cites Work

• Unnamed Item
• Fractional parts of powers and Sturmian words
• On the distance from a rational power to the nearest integer
• On integer and fractional parts of powers of Salem numbers
• An arithmetical property of powers of Salem numbers
• Integer parts of powers of rational numbers
• On the sets of uniqueness of a distribution function of {ξ(p/q)ⁿ}
• ARITHMETICAL PROPERTIES OF POWERS OF ALGEBRAIC NUMBERS
• Linear mod one transformations and the distribution of fractional parts {ξ(p/q)ⁿ}
• An arithmetic property of certain rational powers
• An unsolved problem on the powers of 3/2

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