Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomials Consisting of Quadratic Factors with Roots Modulo Any
  Positive Integer   We give an infinite family of polynomials that have roots modulo every
positive integer but fail to have rational roots. Each polynomial in this
family is made up of monic quadratic factors that do not have linear term.

20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol