Approximation by polynomials with bounde
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Toufik Zaimi
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Article
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2007
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Elsevier Science
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English
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Let ฮธ be a real number satisfying 1 < ฮธ < 2, and let A(ฮธ) be the set of polynomials with coefficients in {0, 1}, evaluated at ฮธ . Using a result of Bugeaud, we prove by elementary methods that ฮธ is a Pisot number when the set (A(ฮธ) -A(ฮธ) -A(ฮธ)) is discrete; the problem whether Pisot numbers are the