On pairs of $r$-primitive and $k$-normal elements with prescribed traces over finite fields

Aakash Choudhary, R. K. Sharma

Given ${\mathbb{F}}_{q^n}$, a field with $q^n$ elements, where $q$ is a prime power and $n$ is positive integer. For $r_1,r_2,m_1,m_2\in \mathbb{N}$, $k_1,k_2 \in \mathbb{N}\cup…