Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elliptic curves and explicit enumeration of irreducible polynomials with
  two coefficients prescribed   Let $F_q$ be a finite field of characteristic $p=2,3$. We give the number of
irreducible polynomials $x^m+a_{m-1}x^{m-1}+...+a_0\in\F_q[x]$ with $a_{m-1}$
and $a_{m-3}$ prescribed for any given $m$ if $p=2$, and with $a_{m-1}$ and
$a_1$ prescribed for $m=1,...,10$ if $p=2,3$.

32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an