12 citations · 38 across the 20 of their papers we have counts for
4 papers · 2 filters
Lehmer numbers and primitive roots modulo a prime
Stephen D. Cohen, Tim Trudgian
A Lehmer number modulo a prime is an integer with whose inverse within the same range has opposite parity. Lehmer numbers that are also primit…
Linear combinations of primitive elements of a finite field
Stephen Cohen, Tomás Oliveira e Silva, Nicole Sutherland +1
We examine linear sums of primitive roots and their inverses in finite fields. In particular, we refine a result by Li and Han, and show that every has a pair of primitive…
Primitive Element Pairs with One Prescribed Trace over a Finite Field
Anju Gupta, R. K. Sharma, Stephen D. Cohen
In this article, we establish a sufficient condition for the existence of a primitive element such that the element is also a primitive element…
Existence results for primitive elements in cubic and quartic extensions of a finite field
Geoff Bailey, Stephen D. Cohen, Nicole Sutherland +1
With $\Fq$ the finite field of elements, we investigate the following question. If generates $\Fqn$ over $\Fq$ and is a non-zero element of $\Fqn$, is there always an $…