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\(\beta\)-expansion and transcendence in \(\mathbb F_q((x^{-1}))\)

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Publication:385961
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DOI10.1016/j.tcs.2013.11.017zbMath1280.11063OpenAlexW95413025MaRDI QIDQ385961

Farah Abbes, M. Merkhi, Mohamed Hbaib

Publication date: 13 December 2013

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2013.11.017

zbMATH Keywords

dynamical systemMahler measureformal power series\(\beta\)-expansionalgebraic series\(q\)-automaticnumerationtranscendental


Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)


Related Items

On the algebraicity of generalized power series



Cites Work

  • Unnamed Item
  • Ensembles presque périodiques \(k\)-reconnaissables. (Almost periodic \(k\)-recognizable sets)
  • On gaps in Rényi \(\beta\)-expansions of unity for \(\beta>1\) an algebraic number
  • The algebraic closure of the power series field in positive characteristic
  • The Komornik-Loreti Constant Is Transcendental
  • On the β-Expansion of an Algebraic Number in an Algebraic Base β
  • Representations for real numbers and their ergodic properties
  • On theβ-expansions of real numbers
  • SUR LE BÊTA-DÉVELOPPEMENT DE 1 DANS LE CORPS DES SÉRIES FORMELLES
  • Automatic Sequences
  • On beta expansions for Pisot numbers
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