Abstract

Let $K=\mathbb{Q}(\alpha )$ be a pure number field generated by a root $\alpha$ of a monic irreducible polynomial $F(x)=x^{p^r}-a\in \mathbb{Z}[x]$, where $p$ is a rational prime and $r$ is a positive integer. We study the monogenity of $K$. We illustrate our results by some computational examples.

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