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

Cohen, Stephen DOliveira E Silva, TomásTrudgian, Tim2014-04-142014-04-140025-5718http://hdl.handle.net/1885/11567We 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.Supported by Australian Research Council DECRA Grant DE120100173.8 pageshttp://www.sherpa.ac.uk/romeo/issn/0025-5718/ author can archive pre-print (ie pre-refereeing); author can archive post-print (ie final draft post-refereeing); author can archive publisher's version/PDFfinite fieldsprimitive rootsA proof of the conjecture of Cohen and Mullen on sums of primitive roots2014-04-14