On the discriminant of pure number fields
On the discriminant of pure number fields
Let $K=\mathbb {Q}(\sqrt [n]{a})$ be an extension of degree $n$ of the field $\mathbb Q $ of rational numbers, where the integer $a$ is such that for each prime $p$ dividing $n$ either $p\nmid a$ or the highest power of $p$ dividing $a$ is coprime to $p$