M. B. Branco

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20182024

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Showing 2021 · math.ACShow all

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math.AC2021

The Frobenius problem for generalized repunit numerical semigroups

Manuel B. Branco, Isabel Colaço, Ignacio Ojeda

In this paper, we introduce and study the numerical semigroups generated by ${a_{1}, a_{2}, \dots} \subset N$ such that $a_{1}$ is the repunit number in base $b > 1$ of leng…

math.AC2021

Numerical semigroups with concentration two

José C. Rosales, M. B. Branco, Márcio A. Traesel

We define the concentration of a numerical semigroup $S$ as $C (S) = max {next_{S} (s) - s ∣ s \in S \ {0}}$ wherein $\text{next}_S(s)=\min\left\{…