PURELY PERIODIC BETA-EXPANSIONS OVER LAURENT SERIES

DOI10.1142/S0218196711006765zbMath1333.11072OpenAlexW1996559904MaRDI QIDQ5389110

S. Zouari, R. Ghorbel, Mohamed Hbaib

Publication date: 24 April 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196711006765

zbMATH Keywords

formal power series\(\beta \)-expansionquadratic Pisot unit

Mathematics Subject Classification ID

Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (3)

Purely periodic \(\beta \)-expansions with Pisot or Salem unit base in \(\mathbb F_q((X^{-1}))\) ⋮ On the algebraicity of generalized power series ⋮ Dynamical Diophantine approximation of beta expansions of formal Laurent series

Cites Work

• 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
• 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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