Some computations on the spectra of Pisot and Salem numbers
نویسندگان
چکیده
Properties of Pisot numbers have long been of interest. One line of questioning, initiated by Erdős, Joó and Komornik in 1990, is the determination of l(q) for Pisot numbers q, where l(q) = inf(|y| : y = 0 + 1q + · · ·+ nq, i ∈ {±1, 0}, y 6= 0). Although the quantity l(q) is known for some Pisot numbers q, there has been no general method for computing l(q). This paper gives such an algorithm. With this algorithm, some properties of l(q) and its generalizations are inves-
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ورودعنوان ژورنال:
- Math. Comput.
دوره 71 شماره
صفحات -
تاریخ انتشار 2002