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Zeta function and negative beta-shifts

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Publication:1736101
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DOI10.1007/s00605-019-01271-zzbMath1472.11048OpenAlexW2913138530WikidataQ128374574 ScholiaQ128374574MaRDI QIDQ1736101

Florent Nguema Ndong

Publication date: 29 March 2019

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

Full work available at URL: https://doi.org/10.1007/s00605-019-01271-z

zbMATH Keywords

zeta function\(\beta \)-expansionscoded systemnegative bases


Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Radix representation; digital problems (11A63) Density, gaps, topology (11B05) Dynamical systems involving maps of the interval (37E05)


Related Items

Eigenfunctions of the Perron–Frobenius operators for generalized beta-maps, Density of periodic measures and large deviation principle for generalised mod one transformations



Cites Work

  • Unnamed Item
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  • On the Lyndon dynamical system
  • Systèmes codés. (Coded systems)
  • On periodic points
  • Beta-Expansions with Negative Bases
  • Representations for real numbers and their ergodic properties
  • Points génériques de Champernowne sur certains systèmes codes; application aux θ-shifts
  • The zeta function of the beta transformation
  • Dynamical properties of the negative beta-transformation
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