Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal sums of $m$-gonal numbers   In this paper we study universal quadratic polynomials which arise as sums of
polygonal numbers. Specifically, we determine an asymptotic upper bound (as a
function of $m$) on the size of the set $S_m\subset\mathbb{N}$ such that if a
sum of $m$-gonal numbers represents $S_m$, then it represents $\mathbb{N}$.

29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio