Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic equidistribution and convexity for partition ranks   We study the Dyson rank function $N(r,t;n)$, the number of partitions with
rank congruent to $r$ modulo $t$. We first show that it is monotonic in $n$,
and then show that it equidistributed as $n \rightarrow \infty$. Using this
result we prove a conjecture of Hou and Jagadeeson on the convexity of
$N(r,t;n)$.

32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
13
The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex