An approximation property of Pisot numbers

DOI10.1006/jnth.1999.2456zbMath0962.11034OpenAlexW2087869704MaRDI QIDQ1971702

Marco Pedicini, Vilmos Komornik, Paola Loreti

Publication date: 7 June 2000

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4a04b10d412440f6f400877eb8e8b84943bad02c

zbMATH Keywords

representationPisot numbergolden ratio

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Other number representations (11A67)

Related Items (12)

Spectral properties of cubic complex Pisot units ⋮ On the topological structure of univoque sets ⋮ A proof of the Erdős-Joó-Komornik conjecture in the case of formal power series ⋮ The structure of the spectra of Pisot numbers. ⋮ Description of spectra of quadratic Pisot units ⋮ On the structure of \(\lambda\)-Cantor set with overlaps ⋮ On an approximation property of Pisot numbers. II ⋮ Some computations on the spectra of Pisot and Salem numbers ⋮ Non-trivial quadratic approximations to zero of a family of cubic Pisot numbers ⋮ Unique expansions of real numbers ⋮ Fibonacci expansions ⋮ A property of Pisot numbers

Cites Work

• Unnamed Item
• Developments in non-integer bases
• On a property of Pisot numbers and related questions
• Unique Developments in Non-Integer Bases
• On the sequence of numbers of the form $ε₀ + ε₁q + ... + ε_nq^n$, $ε_i ∈ {0,1}$
• On a problem of Tamas Varga
• Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems

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