Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Overpartitions and Bressoud's conjecture, I   In this paper, we introduce a new partition function $\overline{B}_j$ which
could be viewed as an overpartition analogue of the partition function $B_j$
introduced by Bressoud. By constructing a bijection, we showed that there is a
relationship between $\overline{B}_1$ and $B_0$ and a relationship between
$\overline{B}_0$ and $B_1$. Based on the relationship between $\overline{B}_1$
and $B_0$ and Bressoud's theorems on the Rogers-Ramanujan-Gordon identities and
the G\"ollnitz-Gordon identities, we obtain the overpartition analogue of the
Rogers-Ramanujan-Gordon identities due to Chen, Sang and Shi and a new
overpartition analogue of the Andrews-G\"ollnitz-Gordon identities. On the
other hand, by using the relation between $\overline{B}_0$ and $B_1$ and
Bressoud's conjecture for $j=1$ proved by Kim, we obtain an overpartition
analogue of Bressoud's conjecture for $j=0$, which provides overpartition
analogues of many classical partition theorems including Euler's partition
theorem. The generating function of the overpartition analogue of Bressoud's
conjecture for $j=0$ is also obtained with the aid of Bailey pairs.

19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg