Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New congruences for broken $k$-diamond partitions   The notion of broken $k$-diamond partitions was introduced by Andrews and
Paule. Let $\Delta_{k}(n)$ denote the number of broken $k$-diamond partitions
of $n$ for a fixed positive integer $k$. In this paper, we establish new
infinite families of broken $k$-diamond partition congruences.

1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio