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

Stephen D. Cohen, Tomás Oliveira e Silva, Tim Trudgian
2015 Mathematics of Computation  
We prove that for all q > 61, every non-zero element in the finite field F q can be written as a linear combination of two primitive roots of F q . This resolves a conjecture posed by Cohen and Mullen.
doi:10.1090/mcom/2950 fatcat:cgwvukcsdfgwpajqkxuwihbdxa