Moulay Ahmed Hajjami

most citedOn Hilbert genus fields of imaginary cyclic quartic fields

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2024

On the unit group and the $2$ -class number of $Q (2, p, q)$

Mohamed Mahmoud Chems-Eddin, Moha Ben Taleb El Hamam, Moulay Ahmed Hajjami

Let $p \equiv 1 (mod 8)$ and $q \equiv 7 (mod 8)$ be two prime numbers. The purpose of this paper is to compute the unit group of the fields $\KK=\QQ(\sqrt 2, \sqrt{p}, \sqrt{q} )$ and…

math.NT2021

Hilbert genus fields of some number fields with high degrees

Mohamed Mahmoud Chems-Eddin, Moulay Ahmed Hajjami, Mohammed Taous

The aim of this paper is to give some properties of Hilbert genus fields and construct the Hilbert genus fields of the fields $L_{m, d} := Q (ζ_{2^{m}}, d)$ , where $m\geq…

math.NT2021

The construction of the Hilbert genus fields of real cyclic quartic fields

Mohamed Mahmoud Chems-Eddin, Moulay Ahmed Hajjami, Mohammed Taous

Let $p$ be a prime number such that $p = 2$ or $p \equiv 1 (mod 4)$ . Let $ε_{p}$ denote the fundamental unit of $Q (p)$ and let $a$ be a positive square-free int…

math.NT2021★ 1 cited

On Hilbert genus fields of imaginary cyclic quartic fields

Moulay Ahmed Hajjami, Mohamed Mahmoud Chems-Eddin