V. Acciaro

activity

20172020

most citedOn quaternion algebras that split over quadratic number fields

1 citations · 2 across the 2 of their papers we have counts for

collaborators

5 papers

math.NT2020

On quaternion algebras over some extensions of quadratic number fields

Vincenzo Acciaro, Diana Savin, Mohammed Taous +1

Let $p$ and $q$ be two positive primes. Let $ℓ$ be an odd positive prime integer and $F$ a quadratic number field. Let $K$ be an extension of $F$ such that $K$ is a dihedral ext…

math.NT2020

Some split symbol algebras of prime degree

Diana Savin, Vincenzo Acciaro

Let $p$ be an odd prime, let $K = Q (ε)$ where $ε$ is a primitive cubic root of unity, and let $L$ be the Kummer field $Q (ε, 3 α)$ . In this paper we…

math.NT2019★ 1 cited

On quaternion algebras that split over quadratic number fields

Vincenzo Acciaro, Diana Savin, Mohammed Taous +1

Let $d$ and $m$ be two distinct squarefree integers and $O_{K}$ the ring of integers of the quadratic field $K = Q (d)$ . Denote by $H_{K} (α, m)$ a quaternion al…

math.NT2018★ 1 cited

On quaternion algebra over the composite of quadratic number fields and over some dihedral fields

Vincenzo Acciaro, Diana Savin

Let p and q be two positive primes. In this paper we obtain a complete characterization of quaternion division algebras H_K(p,q) over the composite K of n quadratic number fields.…

math.NT2017

Computing normal integral bases of abelian number fields

Vincenzo Acciaro

Let L be an abelian number field of degree n with Galois group G. In this paper we study how to compute efficiently a normal integral basis for L, if there is at least one, assumin…