Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A number theoretical observation of a resonant interaction of Rossby
  waves   Rossby waves are generally expected to dominate the $\beta$ plane dynamics in
geophysics, and here in this paper we give a number theoretical observation of
the resonant interaction with a Diophantine equation. The set of resonant
frequencies does not have any frequency on the horizontal axis. We also give
several clusters of resonant frequencies.

20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga