3 citations · 9 across the 17 of their papers we have counts for
17 papers
-primitive -normal elements in arithmetic progressions over finite fields
Josimar J. R. Aguirre, Abílio Lemos, Victor G. L. Neumann +1
Let be a finite field with elements. For a positive divisor of , the element is called \textit{-primitive} if its m…
A Variant of Harborth Constant
A. Lemos, B. K. Moriya, A. O. Moura +1
Let be a finite additive abelian group. For given a positive integer, the -Harborth constant is defined to be the smallest positive integer such that given…
On the Number of Weighted Zero-sum Subsequences
A. Lemos, B. K. Moriya, A. O. Moura +1
Let be a finite additive abelian group with exponent and a positive integer. For a sequence over and $A=\{1,2,\ldots,d^kn-1\}\setminus\{d^kn/d^i:i\in…
Quadratic Symmetric Polynomials and an analogue of the Davenport Constant
Hemar Godinho, Abílio Lemos, Victor Neumann +1
In this paper, we define the constant , an analogue for the Davenport constant, for sequences on the finite field , defined via quadratic symmetric polynomia…
On arithmetic progressions in finite fields
Abílio Lemos, Victor Neumann, Sávio Ribas
In this paper, we explore the existence of -terms arithmetic progressions in with a given common difference whose terms are all primitive elements, and at lea…
The main zero-sum constants over
Fabio Enrique Brochero Martínez, Abílio Lemos, B. K. Moriya +1
Let be the cyclic group of order and be the dihedral group of order , where is even. In this paper, we provide the exact values of some zero-sum constant…