Some computations on the spectra of Pisot and Salem numbers
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Publication:2781224
DOI10.1090/S0025-5718-01-01336-9zbMath1037.11065MaRDI QIDQ2781224
Kevin G. Hare, Peter B. Borwein
Publication date: 19 March 2002
Published in: Mathematics of Computation (Search for Journal in Brave)
PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Evaluation of number-theoretic constants (11Y60)
Related Items (18)
Bernoulli convolutions associated with certain non-Pisot numbers ⋮ Spectral properties of cubic complex Pisot units ⋮ On the topology of polynomials with bounded integer coefficients ⋮ On spectra of neither Pisot nor Salem algebraic integers ⋮ Discrete spectra and Pisot numbers ⋮ The Reciprocal Algebraic Integers Having Small House ⋮ On Littlewood and Newman polynomial multiples of Borwein polynomials ⋮ A proof of the Erdős-Joó-Komornik conjecture in the case of formal power series ⋮ The structure of the spectra of Pisot numbers. ⋮ Approximation by polynomials with bounded coefficients ⋮ On certain multiples of Littlewood and Newman polynomials ⋮ On an approximation property of Pisot numbers. II ⋮ A property of the spectra of non-Pisot numbers ⋮ Non-trivial quadratic approximations to zero of a family of cubic Pisot numbers ⋮ A remark on the spectra of Pisot numbers ⋮ Unique expansions of real numbers ⋮ Approximation by polynomials with coefficients \(\pm 1\). ⋮ Seventy years of Salem numbers
Cites Work
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- Pisot and Salem Numbers in Intervals of the Real Line
- On the sequence of numbers of the form $ε₀ + ε₁q + ... + ε_nq^n$, $ε_i ∈ {0,1}$
- On a problem of Tamas Varga
- On beta expansions for Pisot numbers
- Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
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