Counting metacyclic fields

Maddie Allen, Justine Dell, Milad Fakhari +3

By a metacyclic field $K$ we mean the Galois closure of a pure field $\mathbb{Q}(\sqrt[\ell ]{D})$, $D\in \mathbb{Z}$, of odd prime degree $\ell$. Let ${\mathcal{M}}_{\ell }$ denote the c…