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

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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…

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 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 $x^{6} + a x^{5} + b$