Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation of an integer as the sum of a prime in arithmetic
  progression and a square-free integer   Uniformly for small $q$ and $(a,q)=1$, we obtain an estimate for the weighted
number of ways a sufficiently large integer can be represented as the sum of a
prime congruent to $a$ modulo $q$ and a square-free integer. Our method is
based on the notion of local model developed by Ramar\'e and may be viewed as
an abstract circle method.

8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con