Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting irreducible polynomials over finite fields using the
  inclusion-exclusion principle   C. F. Gauss discovered a beautiful formula for the number of irreducible
polynomials of a given degree over a finite field. Assuming just a few
elementary facts in field theory and the exclusion-inclusion formula, we show
how one see the shape of this formula and its proof instantly.

37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph