Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial partition asymptotics   Let $f \in \mathbb{Z}[y]$ be a polynomial such that $f(\mathbb{N}) \subseteq
\mathbb{N}$, and let $p_{\mathcal{A}_{f}}(n)$ denote number of partitions of
$n$ whose parts lie in the set $\mathcal{A}_f:=\{f(n):n \in \mathbb{N}\}$.
Under hypotheses on the roots of $f-f(0)$, we use the Hardy--Littlewood circle
method, a polylogarithm identity, and the Matsumoto--Weng zeta function to
derive asymptotic formulae for $p_{\mathcal{A}_f}(n)$ as $n$ tends to infinity.
This generalises asymptotic formulae for the number of partitions into perfect
$d$th powers, established by Vaughan for $d=2$, and Gafni for the case $d \geq
2$, in 2015 and 2016 respectively.

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The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin