On the Limit Points of the Fractional Parts of Powers of Pisot Numbers
نویسندگان
چکیده
We consider the sequence of fractional parts {ξαn}, n = 1, 2, 3, . . . , where α > 1 is a Pisot number and ξ ∈ Q(α) is a positive number. We find the set of limit points of this sequence and describe all cases when it has a unique limit point. The case, where ξ = 1 and the unique limit point is zero, was earlier described by the author and Luca, independently.
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