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

Cohen, Stephen D; Oliveira E Silva, Tomás; Trudgian, Tim

Description

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

CollectionsANU Research Publications
Date published: 2014-04-14
Type: Journal article
URI: http://hdl.handle.net/1885/11567
Source: To appear in Mathematics of Computation

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