On monogenity of certain pure number fields defined by $x^{p^r}-m$

Hamid Ben Yakkou, Lhoussain El Fadil

Let $K=\mathbb{Q}(\alpha )$ be a pure number field generated by a complex root $\alpha$ a monic irreducible polynomial $F(x)=x^{p^r}-m$, with $m\ne 1$ is a square free rational in…