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arXiv · 2002.00927

Beurling numbers whose number of prime factors lies in a specified residue class

Gregory Debruyne
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Abstract

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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Gregory Debruyne. 2020-02-03. Beurling numbers whose number of prime factors lies in a specified residue class. https://arxiv.org/abs/2002.00927

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