Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Balanced Properties of the q-Derangement Numbers and the q-Catalan
  Numbers   Based on Bona's condition for the balanced property of the number of cycles
of permutations, we give a general criterion for the balanced property in terms
of the generating function of a statistic. We show that the q-derangement
numbers and the q-Catalan numbers satisfy the balanced property.

19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci