On the Powers of Some Transcendental Numbers

DOI10.1017/S0004972700039782zbMath1146.11039OpenAlexW1979347115MaRDI QIDQ5301248

Arturas Dubickas

Publication date: 29 April 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700039782

zbMATH Keywords

fractional partspowers of transcendental numbers

Mathematics Subject Classification ID

Distribution modulo one (11J71) Diophantine approximation in probabilistic number theory (11K60) Special sequences (11K31)

Related Items

On fractional parts of powers of real numbers close to 1 ⋮ A lower estimate for \(\| e^n \|\) ⋮ On the pair correlations of powers of real numbers ⋮ Transcendency of some constants related to integer sequences of polynomial iterations ⋮ Equidistribution results for sequences of polynomials ⋮ Divisibility of integers obtained from truncated periodic sequences

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
• On a question of G. Kuba
• Fractional parts of powers and Sturmian words
• Prime and composite numbers as integer parts of powers
• On integer and fractional parts of powers of Salem numbers
• On the Fractional Parts of the Powers of a Number (I)