Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal relations and the Diophantine Frobenius Problem in embedding
  dimension three   This paper provides a formula for the minimal relations and the Frobenius
number of a numerical semigroup minimally generated by three pairwise coprime
positive integers.

18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org