Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On monic abelian cubics   In this paper we prove the assertion that the number of monic cubic
polynomials $F(x) = x^3 + a_2 x^2 + a_1 x + a_0$ with integer coefficients and
irreducible, Galois over $\mathbb{Q}$ satisfying $\max\{|a_2|, |a_1|, |a_0|\}
\leq X$ is bounded from above by $O(X (\log X)^2)$. We also count the number of
abelian monic binary cubic forms with integer coefficients up to a natural
equivalence relation ordered by the so-called Bhargava-Shankar height. Finally,
we prove an assertion characterizing the splitting field of 2-torsion points of
semi-stable abelian elliptic curves

11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin