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The degree of approximation by polynomials with positive coefficients

โœ Scribed by G. G. Lorentz


Publisher
Springer
Year
1963
Tongue
English
Weight
681 KB
Volume
151
Category
Article
ISSN
0025-5831

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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