H. Choulli

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math.NT2021

On power integral bases of certain pure number fields defined by $X^{60} - m$

Lhoussain El Fadil, Omar Kchit, Hanan Choulli

Let $K$ be a pure number field generated by a complex root of a monic irreducible polynomial $F (x) = x^{60} - m \in Z [x]$ , with $m \neq = \pm 1$ a square free integer. In this pape…

math.NT2021

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

Hamid Ben Yakkou, Lhoussain El Fadil

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

On power integral bases of certain pure number fields defined by X60−m

On monogenity of certain pure number fields defined by xpr−m

On power integral bases of certain pure number fields defined by $X^{60} - m$

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