15 citations · 28 across the 16 of their papers we have counts for
16 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…
Pairs of -primitive and -normal elements in finite fields
Josimar J. R. Aguirre, Victor G. L. Neumann
Let be a finite field with elements and be a positive divisor of . An element is called -primitive if its multiplic…
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…
Number of -normal elements over a finite field
Josimar J. R. Aguirre, Victor G. L. Neumann
An element is a normal element over if the conjugates , , are linearly independent over . Hence a n…
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…