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arXiv · 1710.03596

Metrical results on the distribution of fractional parts of powers of real numbers

Yann Bugeaud·Lingmin Liao·Michal Rams
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Abstract

Denote by {$\times$} the fractional part. We establish several new metrical results on the distribution properties of the sequence ({x n }) n$\ge$1. Many of them are presented in a more general framework, in which the sequence of functions (x $\rightarrow$ x n) n$\ge$1 is replaced by a sequence (fn) n$\ge$1 , under some growth and regularity conditions on the functions fn.

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Yann Bugeaud, Lingmin Liao, Michal Rams. 2017-10-10. Metrical results on the distribution of fractional parts of powers of real numbers. https://arxiv.org/abs/1710.03596

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