Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On irreducibility of certain Schur polynomials over fields of finite
  characteristic   We present an elementary proof that the Schur polynomial corresponding to an
increasing sequence of exponents (c_0,..., c_{n-1}) with c_0 = 0 is irreducible
over every field of characteristic p whenever the numbers d_i = c_{i+1} - c_i
are all greater than 1, not divisible by p, and satisfy gcd(d_i, d_{i+1}) = 1
for every i.

9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat