On the monogenity of pure number fields: application to the existence of canonical number systems

Hamid Ben Yakkou, Brahim Boudine, Pagdame Tiebekabe

Let $m$ be a rational integer with $m\ne 0,\pm 1$, and consider the pure number field $K=\mathbb{Q}(\sqrt[n]{m})$ with $n\ge 3$. Most papers discussing the monogenity of pure…