A. Lemos

activity

20172021

most citedConditions to the existence of center in planar systems and center for Abel equations

1 citations · 1 across the 3 of their papers we have counts for

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math.NT2022

On the Number of Weighted Zero-sum Subsequences

A. Lemos, B. K. Moriya, A. O. Moura +1

Let $G$ be a finite additive abelian group with exponent $d^{k} n, d, n > 1,$ and $k$ a positive integer. For $S$ a sequence over $G$ and $A=\{1,2,\ldots,d^kn-1\}\setminus\{d^kn/d^i:i\in…

math.NT2021

The main zero-sum constants over $D_{2 n} \times C_{2}$

Fabio Enrique Brochero Martínez, Abílio Lemos, B. K. Moriya +1

Let $C_{2}$ be the cyclic group of order $2$ and $D_{2 n}$ be the dihedral group of order $2 n$ , where $n$ is even. In this paper, we provide the exact values of some zero-sum constant…

math.NT2018

On the number of fully weighted zero-sum subsequences

Abílio Lemos, Allan O. Moura, Anderson T. Silva +1

Let $G$ be a finite additive abelian group with exponent $n$ and $S = g_{1} \dots g_{t}$ be a sequence of elements in $G$ . For any element $g$ of $G$ and $A\subseteq\{1,2,\ldots,n-1\…

math.NT2018

Weighted EGZ Constant for p-groups of rank 2

Filipe Oliveira, Abílio Lemos, Hemar Godinho

Let $G$ be a finite abelian group of exponent $n$ , written additively, and let $A$ be a subset of $Z$ . The constant $s_{A} (G)$ is defined as the smallest integer $ℓ$ such…

On the Number of Weighted Zero-sum Subsequences

The main zero-sum constants over D2n​×C2​

On the number of fully weighted zero-sum subsequences

Weighted EGZ Constant for p-groups of rank 2

The main zero-sum constants over $D_{2 n} \times C_{2}$