Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Congruences for an arithmetic function from 3-colored Frobenius
  partitions   Let $a(n)$ defined by $\sum_{n=1}^{\infty}a(n)q^n :=
\prod_{n=1}^{\infty}\frac{1}{(1-q^{3n})(1-q^n)^3}.$ In this note, we prove that
for every non-negative integer $n$, a(15n+6) \equiv 0\pmod{5}, a(15n+12) \equiv
0\pmod{5}. As a corollary, we obtained some results of Ono

18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
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
12
The categories of this paper are: nucl-th