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Permissible bounds on the coefficients of approximating polynomials

โœ Scribed by John A Roulier


Book ID
107776484
Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
222 KB
Volume
3
Category
Article
ISSN
0021-9045

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Approximation by polynomials with bounde
โœ Toufik Zaimi ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 177 KB

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