Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a discriminator for the polynomial $f(x)=x^3+x$   Let $\Delta(n)$ denote the smallest positive integer $m$ such that
$a^3+a(1\le a\le n)$ are pairwise distinct modulo $m$. The purpose of this
paper is to determine $\Delta(n)$ for all positive integers $n$.

11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
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
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc