On β-expansions of unity for rational and transcendental numbers β

DOI10.2478/S12175-011-0040-3zbMATH Open1274.11023OpenAlexW2067106672MaRDI QIDQ3096531

Arturas Dubickas

Publication date: 11 November 2011

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-011-0040-3

zbMATH Keywords

\(\beta \)-expansiontranscendental numbersDiophantine exponent

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Radix representation; digital problems (11A63) Density, gaps, topology (11B05)

Cites Work

• \(\beta\)-expansions and symbolic dynamics
• On theβ-expansions of real numbers
• Complexity of infinite words associated with beta-expansions
• Arithmetic properties of lacunary power series with integral coefficients
• Rational approximations to algebraic numbers

Related Items (2)

On gaps in Rényi \(\beta\)-expansions of unity for \(\beta>1\) an algebraic number ⋮ On the beta-expansions of 1 and algebraic numbers for a Salem number beta

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