Zakariae Bouazzaoui

activity

20192023

most citedHalf-integral weight modular forms and real quadratic

p

-rational fields

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2023

On the Galois structure of units in totally real $p$ -rational number fields

Zakariae Bouazzaoui, Donghyeok Lim

The theory of factor-equivalence of integral lattices establishes a far-reaching relationship between the Galois module structure of the unit group of the ring of integers of a num…

math.NT2022

Mild pro- $p$ -groups and $p$ -extensions of imaginary quadratic fields with non-trivial $p$ -class group

Zakariae Bouazzaoui, Abdelaziz El Habibi

Let $k$ be an imaginary quadratic field and $p$ an odd prime number such that the $p$ -rank of the class group of $k$ is one. Let $S$ be a finite set of places of $k$ distinct from…

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

Fibonacci Sequences And Real Quadratic p-Rational Fields

Zakariae Bouazzaoui

We study the p-rationality of real quadratic fields in terms of generalized Fibonacci numbers and their periods modulo positive integers.

On the Galois structure of units in totally real p-rational number fields

Mild pro-p-groups and p-extensions of imaginary quadratic fields with non-trivial p-class group

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

Fibonacci Sequences And Real Quadratic p-Rational Fields

On the Galois structure of units in totally real $p$ -rational number fields

Mild pro- $p$ -groups and $p$ -extensions of imaginary quadratic fields with non-trivial $p$ -class group

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