✦ LIBER ✦

Bounded by Polynomial Approximation

✍ Scribed by Rubel, L. A.

Book ID: 118181649
Publisher: Society for Industrial and Applied Mathematics
Year: 1964
Weight: 379 KB
Volume: 1
Category: Article
ISSN: 0887-459X
DOI: 10.1137/0701012

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Let θ be a real number satisfying 1 < θ < 2, and let A(θ) be the set of polynomials with coefficients in {0, 1}, evaluated at θ . Using a result of Bugeaud, we prove by elementary methods that θ is a Pisot number when the set (A(θ) -A(θ) -A(θ)) is discrete; the problem whether Pisot numbers are the

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