Rational Laurent series with purely periodic \(\beta\)-expansions

zbMath1347.11075MaRDI QIDQ379127

Farah Abbes, Mohamed Hbaib

Publication date: 8 November 2013

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1380287434

Mathematics Subject Classification ID

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

Related Items

Purely periodic \(\beta \)-expansions with Pisot or Salem unit base in \(\mathbb F_q((X^{-1}))\), Rational digit systems over finite fields and Christol's theorem, On the algebraicity of generalized power series, Automatic \(\beta\)-expansions of formal Laurent series over finite fields

Cites Work

• The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series
• Beta-expansion and continued fraction expansion over formal Laurent series
• \(\beta\)-expansions in algebraic function fields over finite fields
• Metric properties and exceptional sets of \(\beta \)-expansions over formal Laurent series
• Purely periodic \(\beta \)-expansions in the Pisot non-unit case
• The algebraic closure of the power series field in positive characteristic
• Purely periodic 𝛽-expansions with Pisot unit base
• Representations for real numbers and their ergodic properties
• SUR LE BÊTA-DÉVELOPPEMENT DE 1 DANS LE CORPS DES SÉRIES FORMELLES
• Rational numbers with purely periodic β -expansion
• On Periodic Expansions of Pisot Numbers and Salem Numbers
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