The probability that a random monic p-adic polynomial splits into linear factors

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dc.creatorBuhler, Joe
dc.creatorGoldstein, Daniel
dc.creatorMoews, David
dc.creatorRosenberg, Joel
dc.date2004-04-03
dc.date.accessioned2026-07-07T05:07:04Z
dc.date.available2026-07-07T05:07:04Z
dc.descriptionLet n be a positive integer and let p be a prime. We calculate the probability that a random monic polynomial of degree n with coefficients in the ring Z_p of p-adic integers splits over Z_p into linear factors.
dc.description24+2 pages, incl. 2 figures. Submitted to Experimental Mathematics
dc.identifierhttps://arxiv.org/abs/math/0404057
dc.identifierhttp://arxiv.org/abs/math/0404057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70712
dc.subjectNumber Theory
dc.subject11S05
dc.titleThe probability that a random monic p-adic polynomial splits into linear factors
dc.typetext

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