Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formulas for the number of $k$-colored partitions and the number of
  plane partitions of $n$ in terms of the Bell polynomials   We derive closed formulas for the number of $k$-coloured partitions and the
number of plane partitions of $n$ in terms of the Bell polynomials.

30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex