3 papers
math.NT2024
On the functional graph of over quadratic extensions of finite fields
Josimar J. R. Aguirre, Abílio Lemos, Victor G. L. Neumann
Let be the finite field with elements. In this paper we will describe the dynamics of the map with over…
math.NT2022
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…
math.NT2022
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…