Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the average number of divisors of reducible quadratic polynomials   We give an asymptotic formula for the divisor sum $\sum_{c<n\leq
N}\tau\left((n-b)(n-c)\right)$ for integers $b<c$ of the same parity.
Interestingly, the coefficient of the main term does not depend on the
discriminant as long as it is a full square. We also provide effective upper
bounds of the average divisor sum for some of the reducible quadratic
polynomials considered before, with the same main term as in the asymptotic
formula.

11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol