Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On $t$-core and self-conjugate $(2t-1)$-core partitions in arithmetic
  progressions   We extend recent results of Ono and Raji, relating the number of
self-conjugate $7$-core partitions to Hurwitz class numbers. Furthermore, we
give a combinatorial explanation for the curious equality
$2\operatorname{sc}_7(8n+1) = \operatorname{c}_4(7n+2)$. We also conjecture
that an equality of this shape holds if and only if $t=4$, proving the cases
$t\in\{2,3,5\}$ and giving partial results for $t>5$.

6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg