Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Square-free values of reducible polynomials   We calculate admissible values of r such that a square-free polynomial with
integer coefficients, no fixed prime divisor and irreducible factors of degree
at most 3 takes infinitely many values that are a product of at most r distinct
primes.

26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th