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

Gregory Debruyne

Type: Article

Publication Date: 2020-01-01

Citations: 0

DOI: https://doi.org/10.4064/aa200130-15-6

Abstract

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

Locations

Acta Arithmetica - View
arXiv (Cornell University) - View - PDF
Ghent University Academic Bibliography (Ghent University) - View - PDF

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