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A Liouville-like approach for the transcendence of some real numbers

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Publication:1876792
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DOI10.1016/j.crma.2004.02.002zbMath1046.11051OpenAlexW1998510998MaRDI QIDQ1876792

Boris Adamczewski

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.02.002


zbMATH Keywords

Liouville numberstranscendental numbers


Mathematics Subject Classification ID

Transcendence (general theory) (11J81)


Related Items

On the complexity of algebraic numbers ⋮ Continued fractions and transcendental numbers ⋮ On gaps in Rényi \(\beta\)-expansions of unity for \(\beta>1\) an algebraic number ⋮ Arithmetical properties of real numbers related to beta-expansions ⋮ On the \(b\)-ary expansion of an algebraic number ⋮ On the beta-expansions of 1 and algebraic numbers for a Salem number beta



Cites Work

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  • Simple continued fractions for some irrational numbers
  • On Roth's theorem
  • Rational approximations to algebraic numbers
  • Rational approximations to algebraic numbers
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