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arXiv 2002.00927math.NT
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Beurling numbers whose number of prime factors lies in a specified residue class

Gregory Debruyne

英文摘要:

We find asymptotics for $S_{K,c}(x)$, the number of positive integers below $x$ whose number of prime factors is $c \; \mathrm{mod}\; K$. We study this question in the context of Beurling integers.

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