8 citations · 19 across the 6 of their papers we have counts for
Showing 2017 · math.NTShow all
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math.NT2017★ 5 cited
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…
math.NT2017★ 3 cited
Galois groups over rational function fields and explicit Hilbert irreducibility
David Krumm, Nicole Sutherland
Let be a polynomial in two variables with rational coefficients, and let be the Galois group of over the field . It follows from Hilbert'…
math.NT2017★ 8 cited
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 $…