On the height of the Sylvester Resultant

dc.creatorD'Andrea, Carlos
dc.creatorHare, Kevin G.
dc.date2003-10-17
dc.date2004-05-13
dc.date.accessioned2026-07-07T05:02:02Z
dc.date.available2026-07-07T05:02:02Z
dc.descriptionLet n be a positive integer. We consider the Sylvester Resultant of f and g, where f is a generic polynomial of degree 2 or 3 and g is a generic polynomial of degree n. If f is a quadratic polynomial, we find the resultant's height. If f is a cubic polynomial, we find tight asymptotics for the resultant's height.
dc.description20 pages, revised version with more general results. Accepted for publication in Experimental Mathematics
dc.identifierhttps://arxiv.org/abs/math/0310276
dc.identifierhttp://arxiv.org/abs/math/0310276
dc.identifierExperimental Mathematics, Volume 13, Number 3 2004 331-341
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68899
dc.subjectNumber Theory
dc.subjectCommutative Algebra
dc.subject11G50
dc.titleOn the height of the Sylvester Resultant
dc.typetext

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