4 citations · 7 across the 5 of their papers we have counts for
5 papers
Arithmetic equivalence for non-geometric extensions of global function fields
Francesco Battistoni, Hassan Oukhaba
In this paper we study couples of finite separable extensions of the function field which are arithmetically equivalent, i.e. such that prime ideals of $\mathbb{F…
On the -invariant of Katz -adic functions attached to imaginary quadratic fields and applications
Hassan Oukhaba, Stéphane Viguié
We extend to and the result of Gillard and Schneps which says that the -invariant of Katz -adic functions attached to imaginary quadratic fields is zero for $…
On Gras conjecture for imaginary quadratic fields
Hassan Oukhaba, Stéphane Viguié
In this paper we extend methods of Rubin to prove the Gras conjecture for abelian extensions of a given imaginary quadratic field k and prime numbers p which divide the number of r…
The Gras conjecture in function fields by Euler systems
Hassan Oukhaba, Stéphane Viguié
We use Euler systems to prove the Gras conjecture for groups generated by Stark units in global function fields. The techniques applied here are classical and go back to Thaine, Ko…
Sur la torsion de la distribution ordinaire universelle attachée à un corps de nombres
Jean-Robert Belliard, Hassan Oukhaba
We study the torsion subgroup of the universal ordinary distribution related to a general number field. We describe a way to control this subgroup. We apply this method to the spec…