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

Published 12 Feb 2014 in math.NT | (1402.2724v2)

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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