Discriminant and Integral basis of sextic fields defined by x^6+ax+b

Sumandeep Kaur, Sudesh Kaur Khanduja

Let $K=\mathbb{Q}(\theta )$ be an algebraic number field with $\theta$ a root of an irreducible trinomial $f(x)=x^6+ax+b$ belonging to $\mathbb{Z}[x]$. In this paper, for each prime number $p$…