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arXiv · 2406.19491

Well-distribution modulo one and the primes

J. Champagne·T. H. Lê·Y. -R. Liu·T. D. Wooley
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Abstract

Let $(p_n)$ denote the sequence of prime numbers, with $2=p_1<p_2<\ldots$. We demonstrate the existence of an irrational number $\alpha$ having the property that the sequence $(\alpha p_n)$ is not well-distributed modulo $1$.

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J. Champagne, T. H. Lê, Y. -R. Liu, T. D. Wooley. 2024-06-27. Well-distribution modulo one and the primes. https://arxiv.org/abs/2406.19491

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