S. Ribas

collaborators

Showing math.NTShow all

3 papers · 1 filter

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.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…

math.NT2024

A note on weighted consecutive Davenport constant

A. Lemos, A. O. Moura, S. Ribas +1

Let $G$ be a group and $A \subseteq [1, exp (G) - 1]$ . We define the constant $C_{A} (G),$ which is the least positive integer $ℓ$ such that every sequence over $G$ of length at…

Arithmetic properties of arguments of algebraic numbers on the unit circle

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

A note on weighted consecutive Davenport constant

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