Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some upper bounds on the number of resonances for manifolds with
  infinite cylindrical ends   We prove some sharp upper bounds on the number of resonances associated with
the Laplacian, or Laplacian plus potential, on a manifold with infinite
cylidrical ends.

3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat