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Metrical Results on the Distribution of Fractional Parts of Powers of Real Numbers
Published online by Cambridge University Press: 29 November 2018
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 (x ↦ xn)n≥1 is replaced by a sequence (fn)n≥1, under some growth and regularity conditions on the functions fn.
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- Research Article
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- Copyright © Edinburgh Mathematical Society 2018
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