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

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

    Research output: Contribution to journalArticlepeer-review

    11 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)2979-2986
    Number of pages8
    JournalMathematics of Computation
    Volume84
    Issue number296
    DOIs
    Publication statusPublished - 2015

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