Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enumeration of permutations containing a prescribed number of
  occurrences of a pattern of length 3   We consider the problem of enumerating the permutations containing exactly
$k$ occurrences of a pattern of length 3. This enumeration has received a lot
of interest recently, and there are a lot of known results. This paper presents
an alternative approach to the problem, which yields a proof for a formula
which so far only was conjectured (by Noonan and Zeilberger). This approach is
based on bijections from permutations to certain lattice paths with ``jumps'',
which were first considered by Krattenthaler.

11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph