ON THE LIMIT POINTS OF THE FRACTIONAL PARTS OF POWERS OF PISOT NUMBERS
Uras Dubickas · 2006
We consider the sequence of fractional parts {�� n }, n = 1,2,3,..., where � > 1 is a Pisot number and � 2 Q(�) 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 � = 1 and the unique limit point is zero, was earlier described by the author and Luca, independently.