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

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dc.contributor.authorCohen, Stephen D
dc.contributor.authorOliveira E Silva, Tomás
dc.contributor.authorTrudgian, Tim
dc.date.accessioned2014-04-14T01:05:26Z
dc.date.available2014-04-14T01:05:26Z
dc.date.issued2014-04-14
dc.description.abstractWe 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.en_AU
dc.description.sponsorshipSupported by Australian Research Council DECRA Grant DE120100173.en_AU
dc.format8 pagesen_AU
dc.identifier.issn0025-5718
dc.identifier.urihttp://hdl.handle.net/1885/11567
dc.relationhttp://purl.org/au-research/grants/arc/de120100173en_AU
dc.rightshttp://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/PDFen_AU
dc.sourceTo appear in Mathematics of Computationen_AU
dc.subjectfinite fieldsen_AU
dc.subjectprimitive rootsen_AU
dc.titleA proof of the conjecture of Cohen and Mullen on sums of primitive rootsen_AU
dc.typeJournal articleen_AU
dcterms.dateAccepted2014
local.contributor.affiliationTrudgian, Tim, Mathematical Sciences Institute, The Australian National University
local.contributor.authoruidu3958358en_AU
local.description.notesFirst published in Mathematics of Computation in 2014, published by the American Mathematical Societyen_AU
local.publisher.urlhttp://www.ams.org/journals/en_AU
local.type.statusAccepted Versionen_AU

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