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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 , 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 be a prime number such that or . Let denote the fundamental unit of and let be a positive square-free int…