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Optimal number representations in negative base

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Publication:2448975
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DOI10.1007/s10474-013-0336-6zbMath1299.11053arXiv1208.1413OpenAlexW1965618027MaRDI QIDQ2448975

Zuzana Masáková, Edita Pelantová

Publication date: 5 May 2014

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

Full work available at URL: https://arxiv.org/abs/1208.1413


zbMATH Keywords

greedy expansionPisot numbernegative base


Mathematics Subject Classification ID

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





Cites Work

  • Unnamed Item
  • Comments on the spectra of Pisot numbers
  • Confluent linear numeration systems
  • Greedy expansions and sets with deleted digits
  • Calculating the numbers of representations and the Garsia entropy in linear numeration systems
  • Symmetrized \(\beta \)-integers
  • Optimal expansions in non-integer bases
  • Representations for real numbers and their ergodic properties
  • On theβ-expansions of real numbers
  • Ergodic Transformations from an Interval Into Itself
  • Almost Every Number Has a Continuum of b-Expansions
  • Complexity of infinite words associated with beta-expansions
  • Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems




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