Number of digit changes in \(\beta\)-expansion of unity in \(\mathbb{F}_q((x^{-1}))\)

DOI10.1007/s10474-015-0484-yzbMath1363.11098OpenAlexW2463735143MaRDI QIDQ313415

Y. Laabidi, M. Merkhi, Mohamed Hbaib

Publication date: 9 September 2016

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-015-0484-y

zbMATH Keywords

formal power series\(\beta\)-expansionalgebraic seriesnumber of digit changes

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Formal power series rings (13F25)

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Cites Work

• The algebraic closure of the power series field in positive characteristic
• 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
• On beta expansions for Pisot numbers