Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simplest Cubic Fields   Let $Q(\alpha)$ be the simplest cubic field, it is known that $Q(\alpha)$ can
be generated by adjoining a root of the irreducible equation
$x^{3}-kx^{2}+(k-3)x+1=0$, where $k$ belongs to $Q$. In this paper we have
established a relationship between $\alpha$, $\alpha'$ and $k,k'$ where
$\alpha$ is a root of the equation $x^{3}-kx^{2}+(k-3)x+1=0$ and $\alpha'$ is a
root of the same equation with $k$ replaced by $k'$ and $Q(\alpha)=Q(\alpha')$.

28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph