Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Divergence of Puiseux Series Asymptotic Expansions of Solutions to
  the Third Painlev\'{e} Equation   In this paper we present a family of values of the parameters of the third
Painlev\'{e} equation such that Puiseux series formally satisfying this
equation -- considered as series of $z^{2/3}$ -- are series of exact Gevrey
order one. We prove the divergence of these series and provide analytic
functions which are approximated by them in sectors with the vertices at
infinity.

11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th