A remark on the spectra of Pisot numbers. (Une remarque sur le spectre des nombres de Pisot.) (French) Zbl 1210.11113
Summary: Let \(\theta \) be a Pisot number less than 2, \(m\) a positive rational integer, and \(A_m\) the set of the polynomials with coefficients in \(\{0,1,\ldots ,m\}\) evaluated at \(\theta \). We give a lower bound for the greatest limit point of common differences of consecutive elements of \(A_m\).
MSC:
| 11R06 | PV-numbers and generalizations; other special algebraic numbers; Mahler measure |
References:
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