H. B. Yakkou

collaborators

3 papers

math.NT2025

On the monogenity of pure number fields: application to the existence of canonical number systems

Hamid Ben Yakkou, Brahim Boudine, Pagdame Tiebekabe

Let $m$ be a rational integer with $m \neq = 0, \pm 1$ , and consider the pure number field $K = Q (n m)$ with $n \geq 3$ . Most papers discussing the monogenity of pure…

math.NT2024

On common index divisors and monogenity of certain number fields defined by trinomials of type $x^{2^{r}} + a x^{m} + b$

Hamid Ben Yakkou

Let $K = \Q(Ã¾)$ be a number with $A ~ ¾$ a root of an irreducible trinomial of type $F (x) = x^{2^{r}} + a x^{m} + b \in Z [x]$ . In this paper, based on the $p$ -adic Newton polygon techniques…

math.NT2024

On indices and monogenity of quartic number fields defined by quadrinomials

Hamid Ben Yakkou

Consider a quartic number field $K$ generated by a root of an irreducible quadrinomial of the form $F (x) = x^{4} + a x^{3} + b x + c \in Z [x]$ . Let $i (K)$ denote the index of $K$ . Engstrom \c…

On the monogenity of pure number fields: application to the existence of canonical number systems

On common index divisors and monogenity of certain number fields defined by trinomials of type x2r+axm+b

On indices and monogenity of quartic number fields defined by quadrinomials

On common index divisors and monogenity of certain number fields defined by trinomials of type $x^{2^{r}} + a x^{m} + b$