Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics, Tur\'an inequalities, and the distribution of the BG-rank
  and 2-quotient rank of partitions   Let $\overline{p}_j(n)$ denote the number of partitions with BG-rank $j$, and
$\overline{p}_j(a,b;n)$ to be the number of partitions with BG-rank $j$ and
$2$-quotient rank congruent to $a \pmod{b}$. We give asymptotics for both
statistics, and show that $\overline{p}_j(a,b;n)$ is asymptotically
equidistributed over the congruence classes modulo $b$. We also show that each
of $\overline{p}_j(n)$ and $\overline{p}_j(a,b;n)$ asymptotically satisfy all
higher-order Tur\'{a}n inequalities.

33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an