D. Savin

activity

20092023

most citedSome properties of the symbol algebras

17 citations · 62 across the 27 of their papers we have counts for

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math.NT2023

Some properties of a type of the entropy of an ideal and the divergence of two ideals

Nicusor Minculete, Diana Savin

The aim of this paper is to study certain properties of the Kullback-Leibler distance between two positive integer numbers or between two ideals. We present some results related th…

math.NT2023

Division quaternion algebras over some cyclotomic fields

Diana Savin

Let $p_{1}, p_{2}$ be two distinct prime integers, let $n$ be a positive integer, $n$ $\geq 3$ and let $ξ_{n}$ be a primitive root of order $n$ of the unity. In this paper we obtai…

math.NT2022

A type of the entropy of an ideal

Nicusor Minculete, Diana Savin

In this article we find some properties of certain types of entropies of a natural number. Also, regarding the entropy H of a natural number, introduced by Minculete and Pozna, we…

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…