# Publication [4.13] of Tomás Oliveira e Silva

Do not bookmark this page, because its URI may change in the future.
Instead, bookmark its parent page (http://sweet.ua.pt/tos/bib.html).

## Reference

Stephen D. Cohen, Tomás Oliveira e Silva and Tim Trudgian, "A Proof of the Conjecture of Cohen and Mullen on Sums of Primitive Roots," Mathematics of Computation, 2014. Accepted for publication (8 pages).

## Abstract

We prove that for all q>61, every non-zero element in the finite field \mathbbF_{q} can be written as a linear combination of two primitive roots of \mathbbF_{q}. This resolves a conjecture posed by Cohen and Mullen.

## BibTeX entry

```@Article
{
Cohen-2014-3-PCSPR-,
author = {Cohen, Stephen D.} # { and } # {Oliveira e Silva, Tom{\'a}s} #
{ and } # {Trudgian, Tim},
title = {A Proof of the Conjecture of {C}ohen and {M}ullen on Sums of
Primitive Roots},
journal = {Mathematics of Computation},
year = {2014},
note = {Accepted for publication (8 pages).}
}
```