Periodic representations in algebraic bases

DOI10.1007/S00605-017-1151-XzbMath1466.11004arXiv1709.04143OpenAlexW3100045424WikidataQ111976466 ScholiaQ111976466MaRDI QIDQ1757401

Tomáš Vávra, Vítězslav Kala

Publication date: 4 January 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04143

zbMATH Keywords

Pisot numberSalem numberexpansion in non-integer baseperiodic representation

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) 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 (2)

Alphabets, rewriting trails and periodic representations in algebraic bases ⋮ Periodic representations in Salem bases

Cites Work

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• Parallel addition in non-standard numeration systems
• Generalized number systems in the complex plane
• \(k\)-block parallel addition versus 1-block parallel addition in non-standard numeration systems
• On periodic representations in non-Pisot bases
• Beta-Expansions with Negative Bases
• Representations for real numbers and their ergodic properties
• On Periodic Expansions of Pisot Numbers and Salem Numbers

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