O. Kchit

activity

20212023

most citedOn the index divisors and monogenity of certain nonic number fields

4 citations · 6 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2023

The index of certain nonic number fields defined by $x^{9} + a x^{2} + b$

Lhoussain El Fadil, Omar Kchit

In this paper, for any nonic number field $K$ defined by a monic irreducible trinomial $F (x) = x^{9} + a x^{2} + b \in Z [x]$ , we calculate $ν_{p} (i (K))$ for every rational prime $p$ . I…

math.NT2023★ 4 cited

On the index divisors and monogenity of certain nonic number fields

Omar Kchit

In this paper, for any nonic number field $K$ generated by a root $α$ of a monic irreducible trinomial $F (x) = x^{9} + a x + b \in Z [x]$ and for every rational prime $p$ , we charac…

math.NT2022

On index divisors and monogenity of certain number fields defined by $x^{12} + a x^{m} + b$

Lhoussain El Fadil, Omar Kchit

In this paper, we deal with the problem of monogenity of number fields defined by monic irreducible trinomials $F (x) = x^{12} + a x^{m} + b \in Z [x]$ with $1 \leq m \leq 11$ . We give s…

math.NT2022★ 2 cited

On index divisors and monogenity of certain sextic number fields defined by $x^{6} + a x^{5} + b$

Lhoussain El Fadil, Omar Kchit

The main goal of this paper is to provide a complete answer to the Problem 22 of Narkiewicz \cite{Nar} for any sextic number field $K$ generated by a complex root $α$ of a monic ir…

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…

The index of certain nonic number fields defined by x9+ax2+b

On the index divisors and monogenity of certain nonic number fields

On index divisors and monogenity of certain number fields defined by x12+axm+b

On index divisors and monogenity of certain sextic number fields defined by x6+ax5+b

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

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

The index of certain nonic number fields defined by $x^{9} + a x^{2} + b$

On index divisors and monogenity of certain number fields defined by $x^{12} + a x^{m} + b$

On index divisors and monogenity of certain sextic number fields defined by $x^{6} + a x^{5} + b$

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

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