L. E. Fadil

activity

20092022

most citedOn power integral bases of certain pure number fields defined by

x^{2^{u} \cdot 3^{v}} - m

2 citations · 6 across the 10 of their papers we have counts for

collaborators

10 papers

math.NT2022★ 1 cited

On monogenity of certain pure number fields defined by $x^{2^{u} \cdot 3^{v} \cdot 5^{t}} - m$

Lhoussain El Fadil

Let $K = Q (α)$ be a pure number field generated by a root $α$ of a monic irreducible polynomial $F (x) = x^{2^{u} \cdot 3^{v} \cdot 5^{t}} - m$ , with $m \neq = \pm 1$ a square fre…

math.NT2022

On index divisors and monogenity of certain number fields defined by trinomials

Lhoussain El Fadil

Let $K$ be a number field generated by a root $þ$ of a monic irreducible trinomial $F (x) = x^{n} + a x^{m} + b \in Z [x]$ . In this paper, we study the problem of $K$ . More precisely, we p…

math.NT2021

On monogenity of certain number fields defined by trinomials

Hamid Ben Yakkou, Lhoussain El Fadil

Let $K=\Q(θ)$ be a number field generated by a complex root $þ$ of a monic irreducible trinomial $F (x) = x^{n} + a x + b \in Z [x]$ . There is an extensive literature of monogenity of numb…

math.NT2021★ 2 cited

On power integral bases of certain pure number fields defined by $x^{2^{u} \cdot 3^{v}} - m$

Lhoussain El Fadil, A. Najim

Let $K = Q (α)$ be a pure number field generated by a complex root $α$ of a monic irreducible polynomial $F (x) = x^{2^{u} \cdot 3^{v}} - m$ , with $m \neq = \pm 1$ a square free r…

math.NT2021★ 1 cited

A note ON MONOGENEITY of pure number fields

Lhoussain El Fadil

Gassert's paper "A NOTE ON THE MONOGENEITY OF POWER MAPS" is cited at least by $17$ papers in the context of monogeneity of pure number fields despite some errors that it contains…

math.NT2020

Irreducibility criterion, irreducible factors, Newton polygon techniques

Lhoussain El Fadil

Jakhar shown that for $f (x) = a_{n} x^{n} + a_{n - 1} x^{n - 1} + \cdot + a_{0}$ ( $a_{0} \neq = 0$ ) is a polynomial with rational coefficients, if there exists a prime integer $p$ satisfying $ν_p(a_n)=0…

On monogenity of certain pure number fields defined by x2u⋅3v⋅5t−m

On index divisors and monogenity of certain number fields defined by trinomials

On monogenity of certain number fields defined by trinomials

On power integral bases of certain pure number fields defined by x2u⋅3v−m

A note ON MONOGENEITY of pure number fields

Irreducibility criterion, irreducible factors, Newton polygon techniques

On monogenity of certain pure number fields defined by $x^{2^{u} \cdot 3^{v} \cdot 5^{t}} - m$

On power integral bases of certain pure number fields defined by $x^{2^{u} \cdot 3^{v}} - m$