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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…
math.NT2021
About - primitive and -normal elements in finite fields
Cícero Carvalho, Josimar J. R. Aguirre, Victor G. L. Neumann
In 2013, Huczynska, Mullen, Panario and Thomson introduced the concept of -normal elements: an element is -normal over if the greatest…