On periodic alternate base expansions

DOI10.1016/j.jnt.2023.07.008arXiv2206.01810MaRDI QIDQ6048608

Célia Cisternino, Émilie Charlier, Savinien Kreczman

Publication date: 11 October 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.01810

zbMATH Keywords

periodicityspectrumPisot numberSalem numberexpansion of real numbersalternate base

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)

Cites Work

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• Développement en base $\theta$, répartition modulo un de la suite $(x\theta \sp n)$, n$\ge 0$, langages codés et $\theta$-shift
• On Periodic Expansions of Pisot Numbers and Salem Numbers
• On the beta expansion for Salem numbers of degree 6
• On the beta expansion of Salem numbers of degree 8
• Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
• Dynamical behavior of alternate base expansions

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