A proof of the conjecture of Cohen and Mullen on sums of primitive roots

Stephen D. Cohen; Tomás Oliveira e Silva; Tim Trudgian

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arXiv · 1402.2724

A proof of the conjecture of Cohen and Mullen on sums of primitive roots

Stephen D. Cohen·Tomás Oliveira e Silva·Tim Trudgian

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Abstract

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

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Stephen D. Cohen, Tomás Oliveira e Silva, Tim Trudgian. 2014-02-12. A proof of the conjecture of Cohen and Mullen on sums of primitive roots. https://arxiv.org/abs/1402.2724

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