Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enumeration of \L{}ukasiewicz paths modulo some patterns   For any pattern $\alpha$ of length at most two, we enumerate equivalence
classes of \L{}ukasiewicz paths of length $n\geq 0$ where two paths are
equivalent whenever the occurrence positions of $\alpha$ are identical on these
paths. As a byproduct, we give a constructive bijection between Motzkin paths
and some equivalence classes of \L{}ukasiewicz paths.

37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th