On the distribution of αp² modulo one with prime p of a special form

2021/03/22 by Xue, Fei, Li, Jinjiang, Zhang, Min
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2103.11621

Abstract

Let P_r denote an almost-prime with at most r prime factors, counted according to multiplicity. In this paper, it is proved that for α∈ℝ\backslashℚ, β∈ℝ and 0

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