On univoque Pisot numbers
From MaRDI portal
Publication:3433776
DOI10.1090/S0025-5718-07-01961-8zbMath1182.11051arXivmath/0610681MaRDI QIDQ3433776
Kevin G. Hare, Jean-Paul Allouche, Christiane Frougny
Publication date: 2 May 2007
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0610681
PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Other number representations (11A67)
Related Items
Finite orbits in multivalued maps and Bernoulli convolutions, Average number of Zeckendorf integers, A note on univoque self-Sturmian numbers, Univoque Numbers and Automatic Sequences, A property of algebraic univoque numbers, Beta-expansions for infinite families of Pisot and Salem numbers, Expansions in multiple bases, On the admissibility of some substitution sequences
Cites Work
- Computational excursions in analysis and number theory
- The equation \(a_ M=b^ Nc^ P\) in a free group
- Pisot numbers in the neighbourhood of a limit point. I
- From greedy to lazy expansions and their driving dynamics
- Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set
- Power series with integral coefficients
- The Komornik-Loreti Constant Is Transcendental
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- On Periodic Expansions of Pisot Numbers and Salem Numbers
- Pisot and Salem Numbers in Intervals of the Real Line
- Unique Developments in Non-Integer Bases
- On beta expansions for Pisot numbers
- On the beta expansion for Salem numbers of degree 6
- Ensembles fermés de nombres algébriques
- Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
- Étude de certaines fonctions méromorphes bornées sur le cercle unité. Application à un ensemble fermé d'entiers algébriques
- Unique representations of real numbers in non-integer bases
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item