Existence of Primitive Pairs with Prescribed Traces over Finite Fields

Hariom Sharma, R. K. Sharma

Let $F={\mathbb{F}}_{q^m}$, $m>6$, $n$ a positive integer, and $f=p/q$ with $p$, $q$ co-prime irreducible polynomials in $F[x]$ and deg$(p)$ $+$ deg$(q)=n$. A sufficient condition h…