Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A characterization of the Frobenius problem and its application to
  arithmetic progressions   In the Frobenius problem we are given a set of coprime, positive integers
$a_1, a_2,...,a_k$, and are interested in the set of positive numbers NR that
have no representation by the linear form $\sum_i a_ix_i$ in nonnegative
integers $x_1, x_2,...,x_k$. We give a functional relationship that completely
characterizes the set NR, and apply it to the case when the numbers are in an
arithmetic progression.

27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ