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Well-distribution modulo one and the primes
Published 27 Jun 2024 in math.NT | (2406.19491v1)
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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