Elliptic curves and explicit enumeration of irreducible polynomials with two coefficients prescribed

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dc.creatorMoisio, M.
dc.creatorRanto, K.
dc.date2007-01-13
dc.date.accessioned2026-07-07T07:40:59Z
dc.date.available2026-07-07T07:40:59Z
dc.descriptionLet $F_q$ be a finite field of characteristic $p=2,3$. We give the number of irreducible polynomials $x^m+a_{m-1}x^{m-1}+...+a_0\in\F_q[x]$ with $a_{m-1}$ and $a_{m-3}$ prescribed for any given $m$ if $p=2$, and with $a_{m-1}$ and $a_1$ prescribed for $m=1,...,10$ if $p=2,3$.
dc.description17 pages, Part of the results was presented at the Polynomials over Finite Fields and Applications workshop at Banff International Research Station, Canada
dc.identifierhttps://arxiv.org/abs/math/0701375
dc.identifierhttp://arxiv.org/abs/math/0701375
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121948
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11T06; 05A15
dc.titleElliptic curves and explicit enumeration of irreducible polynomials with two coefficients prescribed
dc.typetext

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