Hamid Ben Yakkou

activity

20222024

most citedOn non-monogenic number fields defined by trinomials of type

x^{n} + a x^{m} + b

4 citations · 7 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2024

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★ 1 cited

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…

math.GM2023

Narayana numbers as product of three repdigits in base $g$

Pagdame Tiebekabe, K. R. Kakanou, H. Ben Yakkou

In this paper, we show that there are only finitely many Narayana's numbers which can be written as product of three repdigits in base $g$ with $g \geq 2$ . Moreover, for $2 \leq g…

math.NT2022★ 1 cited

On common index divisors and monogenity of of the nonic number field defined by a trinomial $x^{9} + a x + b$

Hamid Ben Yakkou, Pagdame Tiebekabe

Let $K$ be a nonic number field generated by a complex root $þ$ of a monic irreducible trinomial $F (x) = x^{9} + a x + b \in Z [x]$ , where $ab \neq = 0$ . Let $i (K)$ be the index of $K$ . A…

math.NT2022

The index of the septic number field defined by $x^{7} + a x^{5} + b$

Hamid Ben Yakkou

Let $K$ be a septic number field generated by a complex root $þ$ of a monic irreducible trinomial $F (x) = x^{7} + a x^{5} + b \in Z [x]$ . Let $i (K)$ be the index of $K$ . In this paper, we…

math.NT2022★ 4 cited

On non-monogenic number fields defined by trinomials of type $x^{n} + a x^{m} + b$

Hamid Ben Yakkou

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

math.NT2022★ 1 cited

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 $K = \Q(þ)$ be a number with $þ$ 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 ap…

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

On indices and monogenity of quartic number fields defined by quadrinomials

Narayana numbers as product of three repdigits in base g

On common index divisors and monogenity of of the nonic number field defined by a trinomial x9+ax+b

The index of the septic number field defined by x7+ax5+b

On non-monogenic number fields defined by trinomials of type xn+axm+b

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

Narayana numbers as product of three repdigits in base $g$

On common index divisors and monogenity of of the nonic number field defined by a trinomial $x^{9} + a x + b$

The index of the septic number field defined by $x^{7} + a x^{5} + b$

On non-monogenic number fields defined by trinomials of type $x^{n} + a x^{m} + b$

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