Finite beta-expansions with negative bases

DOI10.1007/s10474-017-0711-9zbMath1389.11020arXiv1701.04609OpenAlexW2575100013MaRDI QIDQ1677610

Z. Krčmáriková, Tomáš Vávra, Wolfgang Steiner

Publication date: 10 November 2017

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

Full work available at URL: https://arxiv.org/abs/1701.04609

zbMATH Keywords

finitenessbeta-expansionshift radix system

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (2)

On positional representation of integer vectors ⋮ Finiteness in real real cubic fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arithmetics in number systems with a negative base
• Confluent linear numeration systems
• Associativity of recurrence multiplication
• Tribonacci multiplication
• Purely periodic expansions in systems with negative base
• Number systems with negative bases
• Generalized radix representations and dynamical systems. I
• Transformations generating negative $\beta$-expansions
• Finite beta-expansions
• Symmetric CNS Trinomials
• Beta-Expansions with Negative Bases
• J. J. Thomson
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Spectral properties of cubic complex Pisot units
• Shift Radix Systems - A Survey
• Negative bases and automata
• Generalized radix representations and dynamical systems II
• Confluent Parry numbers, their spectra, and integers in positive- and negative-base number systems

This page was built for publication: Finite beta-expansions with negative bases