Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential sums with reducible polynomials   Hooley proved that if $f\in \Bbb Z [X]$ is irreducible of degree $\ge 2$,
then the fractions $\{ r/n\}$, $0<r<n$ with $f(r)\equiv 0\pmod n$, are
uniformly distributed in $(0,1)$. In this paper we study such problems for
reducible polynomials of degree $2$ and $3$ and for finite products of linear
factors. In particular, we establish asymptotic formulas for exponential sums
over these normalized roots.

9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph