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math.NT2021
On common index divisors and monogenity of certain number fields defined by
Lhoussain El Fadil
The goal of this paper is to calculate explicitly the field index of any quintic number field generated by a complex root $\al$ of a monic irreducible trinomial $F(x) = x^5+ax+…
math.NT2021
On power integral bases of certain pure number fields defined by
Lhoussain El Fadil, Omar Kchit, Hanan Choulli
Let be a pure number field generated by a complex root of a monic irreducible polynomial , with a square free integer. In this pape…