Saad El Boukhari

activity

20162026

collaborators

5 papers

math.NT2026

A Coates-Sinnott-type Theorem for First Derivatives of Artin $L$ -Functions

Saad El Boukhari

Let $K / k$ be a finite abelian extension of number fields with Galois group $G$ and let $n \geq 2$ . We prove, assuming the relevant $p$ -part of the equivariant Tamagawa number conjec…

math.NT2026

Class Number Relations in Abelian Extensions of Global Fields

Saad El Boukhari, Ben Forrás

Consider a finite abelian extension $K / k$ of global fields with Galois group $G$ . We study the rank-one component of the generalized Stickelberger module associated with $K / k$ and…

math.NT2023

On a Gross conjecture over imaginary quadratic fields

Saad El Boukhari

Let $k$ be an imaginary quadratic number field, and $F / k$ a finite abelian extension of Galois group $G$ . We show that a Gross conjecture concerning the leading terms of Artin $L$ -…

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.NT2016

The index of Rubin-Stark units

Saad EL Boukhari, Youness Mazigh

The aim of this paper is to compare the orders of the class groups and the quotients of the $r$ -th exterior power of units modulo Rubin-Stark units.

A Coates-Sinnott-type Theorem for First Derivatives of Artin L-Functions

Class Number Relations in Abelian Extensions of Global Fields

On a Gross conjecture over imaginary quadratic fields

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

The index of Rubin-Stark units

A Coates-Sinnott-type Theorem for First Derivatives of Artin $L$ -Functions

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