Approximation by polynomials with coefficients \(\pm 1\).

DOI10.1006/jnth.2000.2514zbMath1081.11509OpenAlexW2088174284MaRDI QIDQ1590263

Yuval Peres, B. M. Solomyak

Publication date: 1 January 2001

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

Full work available at URL: https://doi.org/10.1006/jnth.2000.2514

zbMATH Keywords

polynomial approximationPisot numbersdigit expansions

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (8)

On the topology of polynomials with bounded integer coefficients ⋮ On spectra of neither Pisot nor Salem algebraic integers ⋮ Discrete spectra and Pisot numbers ⋮ Polynomials with coefficients from a finite set ⋮ Approximation by polynomials with bounded coefficients ⋮ Some computations on the spectra of Pisot and Salem numbers ⋮ On a kind of self-similar sets with complete overlaps ⋮ Bernoulli convolutions and an intermediate value theorem for entropies of \(k\)-partitions

Cites Work

• Unnamed Item
• Developments in non-integer bases
• Self-similar sets of zero Hausdorff measure and positive packing measure
• On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
• Absolute continuity of Bernoulli convolutions, a simple proof
• Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
• Some computations on the spectra of Pisot and Salem numbers
• Arithmetic Properties of Bernoulli Convolutions
• On the sequence of numbers of the form $ε₀ + ε₁q + ... + ε_nq^n$, $ε_i ∈ {0,1}$
• On a problem of Tamas Varga
• The Hausdorff Dimension of λ-Expansions with Deleted Digits

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