Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beurling numbers whose number of prime factors lies in a specified
  residue class   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.

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex