S. Ribas

collaborators

4 papers

math.CO2026

On zero-sum problems over metacyclic groups $C_{n} ⋊_{s} C_{2}$

Jun Seok Oh, SÃ¡vio Ribas, Kevin Zhao +1

Let $G$ be a finite group. A finite collection of elements from $G$ , where the order is disregarded and repetitions are allowed, is said to be a product-one sequence if its element…

math.NT2026

Arithmetic properties of arguments of algebraic numbers on the unit circle

Geraldo CÃ©sar GonÃ§alves Ferreira, SÃ¡vio Ribas

An irrational number $I^¸$ is called Diophantine if there exist $c > 0$ and $I ¨ < \infty$ such that $I^¸ - \frac{p}{q} \geq \frac{c}{q ^{I ¨} }$ holds for every $(p,q) \in \math…

math.GR2025

On minimal product-one sequences of maximal length over the non-abelian group of order $pq$

Danilo Vilela Avelar, Fabio Enrique Brochero MartÃnez, SÃ¡vio Ribas

Let $G$ be a finite group. A sequence over $G$ is a finite multiset of elements of $G$ , and it is called product-one if its terms can be ordered so that their product is the identi…

math.NT2025

Some zero-sum problems over $⟨ x, y ∣ x^{2} = y^{n /2}, y^{n} = 1, y x = x y^{s} ⟩$

SÃ¡vio Ribas

Let $n \geq 8$ be even, and let $G = ⟨ x, y ∣ x^{2} = y^{n /2}, y^{n} = 1, y x = x y^{s} ⟩$ , where $s^{2} \equiv 1 (mod n)$ and $s \neq \equiv \pm 1 (mod n)$ . In this paper, we pr…

On zero-sum problems over metacyclic groups Cn​⋊s​C2​

Arithmetic properties of arguments of algebraic numbers on the unit circle

On minimal product-one sequences of maximal length over the non-abelian group of order pq

Some zero-sum problems over ⟨x,y∣x2=yn/2,yn=1,yx=xys⟩

On zero-sum problems over metacyclic groups $C_{n} ⋊_{s} C_{2}$

On minimal product-one sequences of maximal length over the non-abelian group of order $pq$

Some zero-sum problems over $⟨ x, y ∣ x^{2} = y^{n /2}, y^{n} = 1, y x = x y^{s} ⟩$