An Approximation Property of Pisot Numbe
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Vilmos Komornik; Paola Loreti; Marco Pedicini
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Article
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2000
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Elsevier Science
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English
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Let q>1. Initiated by P. Erdo s et al. in [4], several authors studied the numbers l m (q)=inf [ y: y # 4 m , y{0], m=1, 2, ..., where 4 m denotes the set of all finite sums of the form y== 0 += 1 q+= 2 q 2 + } } } += n q n with integer coefficients &m = i m. It is known ([1], [4], [6]) that q is a