Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting Rooted Trees: The Universal Law t(n) ~ C \rho^{-n} n^{-3/2}   Combinatorial classes T that are recursively defined using combinations of
the standard multiset, sequence, directed cycle and cycle constructions, and
their restrictions, have generating series T(z) with a positive radius of
convergence; for most of these a simple test can be used to quickly show that
the form of the asymptotics is the same as that for the class of rooted trees:
C \rho^{-n} n^{-3/2} where \rho is the radius of convergence of T.

27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat