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## Weighted Zero-Sum Problems Over $C_3^r$

- H. Godinho, Ab'ilio Lemos, D. Marques
- Mathematics
- 31 December 2011

Let Cn be the cyclic group of order n and set sA(C r n ) as the smallest integer l such that every sequence S in C r n of length at least l has an A-zero-sum subsequence of length equal to exp(C r… Expand

## On affine evolutoids

- Ady Cambraia, Ab'ilio Lemos
- MathematicsQuaestiones Mathematicae
- 1 February 2020

Abstract The envelope of straight lines affine normal to a plane curve C is its affine evolute; the envelope of the affine lines tangent to C is the original curve, together with the entire affine… Expand

## Some results on Riccati equations, Floquet theory and applications

- A. L. D. Araujo, Ab'ilio Lemos, A. Alves, K. M. Pedroso
- Mathematics
- 17 February 2018

In this paper, we present two new results to the classical Floquet theory, which provides the Floquet multipliers for two classes of the planar periodic system. One of these results provides the… Expand

## AN ASYMPTOTIC FORMULA FOR GOLDBACH'S CONJECTURE WITH MONIC POLYNOMIALS IN Z(θ)(x)

- Ab'ilio Lemos, A. L. D. Araujo
- Mathematics
- 27 December 2013

In this paper, we consider D = Z(�), where � = ( √ −k if − k 6≡1 (mod 4) p k+1 2 if − k ≡ 1 (mod 4) , k ≥ 2 is a squarefree integer, and we proved that the number R(y) of representations of a monic… Expand

## Weighted EGZ-constant for p-groups of rank 2

- F. Oliveira, Ab'ilio Lemos, H. Godinho
- Mathematics, ArtInternational Journal of Number Theory
- 30 October 2018

Let [Formula: see text] be a finite abelian group of exponent [Formula: see text], written additively, and let [Formula: see text] be a subset of [Formula: see text]. The constant [Formula: see text]… Expand

## On evolutoids of regular surfaces in Euclidean 3-space.

- Ady Cambraia Junior, Ab'ilio Lemos, M. Salarinoghabi
- Mathematics, Geology
- 26 November 2019

Inspired by the concept of evolutoids of planar curves, we present the concept of evolutoids for regular surfaces as an envelope of a two-parameter family of lines in Euclidean 3-space. We give an… Expand

## Quadratic Symmetric Polynomials and an analogue of the Davenport Constant

- H. Godinho, Ab'ilio Lemos, V. Neumann, Filipe Oliveira
- Mathematics
- 5 August 2022

. In this paper, we deﬁne the constant D ( ϕ,p ) , an analogue for the Davenport constant, for sequences on the ﬁnite ﬁeld F p , deﬁned via quadratic symmetric polynomials. Next, we state a series of… Expand

## On the number of prime factors of Mersenne numbers

- Ab'ilio Lemos, Ady Cambraia Junior
- Mathematics
- 28 June 2016

Let $(M_n)_{n\geq0}$ be the Mersenne sequence defined by $M_n=2^n-1$. Let $\omega(n)$ be the number of distinct prime divisors of $n$. In this short note, we present a description of the Mersenne… Expand

## A partial positive answer to a Lijun–Yun conjecture

- A. Alves, Ab'ilio Lemos, A. L. D. Araujo
- MathematicsBollettino dell'Unione Matematica Italiana
- 1 March 2020

In this paper, we prove a result about the vanishing of the moments for a class of Abel equation and we give a partial positive answer to a conjecture proposed by Lijun and Yun (J Math Anal Appl… Expand

## On the number of fully weighted zero-sum subsequences

- Ab'ilio Lemos, Allan De Oliveira Moura, Anderson Silva, B. K. Moriya
- Mathematics, ArtInternational Journal of Number Theory
- 9 November 2018

Let [Formula: see text] be a finite additive abelian group with exponent [Formula: see text] and [Formula: see text] be a sequence of elements in [Formula: see text]. For any element [Formula: see… Expand

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