Publication [4.13] of Tomás Oliveira e Silva

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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).


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

  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).}