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math.NT2022
Characteristic functions for \MakeLowercase{(r, n)}-free and \MakeLowercase{(f, g)}-free elements
Himangshu Hazarika, Dhiren Kumar Basnet
For a prime power , $\F$ denotes the finite field of order , and for , $\Fm$ denotes the extension field of degree . We establish a characteristic function for th…
math.RA2022
Pair of primitive elements in quadratic form with prescribed trace over a finite field
Himangshu Hazarika, Dhiren Kumar Basnet
In this article, we establish a sufficient condition for the existence of primitive element $α\in \Fm$ is such that is also primitive element of $\Fm$ and $Tr_{\Fm/\F}(α)=β$…