Beurling numbers whose number of prime factors lies in a specified residue class
Volume 196 / 2020
Acta Arithmetica 196 (2020), 433-438
MSC: 11N25, 11N37, 11N80.
DOI: 10.4064/aa200130-15-6
Published online: 31 August 2020
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.
