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Metrical Results on the Distribution of Fractional Parts of Powers of Real Numbers

  • Yann Bugeaud (a1), Lingmin Liao (a2) and Michał Rams (a3)

Abstract

We establish several new metrical results on the distribution properties of the sequence ({xn})n≥1, where {·} denotes the fractional part. Many of them are presented in a more general framework, in which the sequence of functions (xxn)n≥1 is replaced by a sequence (fn)n≥1, under some growth and regularity conditions on the functions fn.

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Metrical Results on the Distribution of Fractional Parts of Powers of Real Numbers

  • Yann Bugeaud (a1), Lingmin Liao (a2) and Michał Rams (a3)

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