J. Assim

activity

20192021

most citedGalois Codescent For Motivic Tame Kernels

4 citations · 5 across the 4 of their papers we have counts for

collaborators

6 papers

math.NT2021

Poitou-Tate Duality for totally positive Galois cohomology

H. Asensouyis, J. Assim, Z. Boughadi +1

In this paper, we establish a Poitou-Tate's global duality for totally positive Galois cohomology. We illustrate this result in the case of the twisted module "à la Tate" $\mathbb{…

math.NT2020

On Greenberg's generalized conjecture

J. Assim, Z. Boughadi

For a number field $F$ and an odd prime number $p,$ let $F ~$ be the compositum of all $Z_{p}$ -extensions of $F$ and $Λ ~$ the associated Iwasawa algebra. Let $G_{…

math.NT2020

On the existence of special elements in odd $K$ -theory groups

Jilali Assim, Saad El Boukhari

Let $k$ be an imaginary quadratic number field, and $F / k$ a finite abelian extension of Galois group $G$ . We investigate the relationship between the conjectural special elements i…

math.NT2019★ 1 cited

Half-integral weight modular forms and real quadratic $p$ -rational fields

Jilali Assim, Zakariae Bouazzaoui

Using half-integral weight modular forms we give a criterion for the existence of real quadratic $p$ -rational fields. For $p = 5$ we prove the existence of infinitely many real quadr…

math.NT2019

A genus formula for the positive étale wild kernel

Hassan Asensouyis, Jilali Assim, Youness Mazigh

Let $F$ be a number field and let $i \geq 2$ be an integer. In this paper, we study the positive étale wild kernel $\mathrm{WK}^{\mbox{ét},+}_{2i-2}F$, which is the twisted analogue…

math.NT2019★ 4 cited

Galois Codescent For Motivic Tame Kernels

J. Assim, A. Movahhedi

Let $L / F$ be a finite Galois extension of number fields with an arbitrary Galois group $G$ . We give an explicit description of the kernel of the natural map on motivic tame kernels…