5 citations · 6 across the 2 of their papers we have counts for
4 papers
The distribution of -free numbers
Michael J. Mossinghoff, Tomás Oliveira e Silva, Tim Trudgian
Let denote the error incurred by approximating the number of -free integers less than by . It is well known that , and widely co…
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…
On Grosswald's conjecture on primitive roots
Stephen D. Cohen, Tomás Oliveira e Silva, Tim Trudgian
Grosswald's conjecture is that , the least primitive root modulo , satisfies for all . We make progress towards this conjecture by proving…
A proof of the conjecture of Cohen and Mullen on sums of primitive roots
Stephen D. Cohen, Tomás Oliveira e Silva, Tim Trudgian
We prove that for all , every non-zero element in the finite field can be written as a linear combination of two primitive roots of . This re…