Existence of primitive polynomials with three coefficients prescribed

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dc.creatorMills, Donald
dc.date2003-05-27
dc.date.accessioned2026-07-07T04:58:19Z
dc.date.available2026-07-07T04:58:19Z
dc.descriptionWe demonstrate, using character sum arguments, the existence of primitive polynomials of degree n over a finite field GF(q) with the coefficients for x^(n-1), x^(n-2), and x^(n-3) prescribed, so long as char(GF(q)) is at least 5 and n is at least 9. The cases n=7, 8 are also considered.
dc.description15 pages, 17 tables; see also http://www.math.siu.edu/mills/default1.htm
dc.identifierhttps://arxiv.org/abs/math/0305383
dc.identifierhttp://arxiv.org/abs/math/0305383
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67586
dc.subjectNumber Theory
dc.subject11T06; 11T71
dc.titleExistence of primitive polynomials with three coefficients prescribed
dc.typetext

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