On Hilbert's construction of positive polynomials

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dc.creatorReznick, Bruce
dc.date2007-07-14
dc.date.accessioned2026-07-07T08:18:27Z
dc.date.available2026-07-07T08:18:27Z
dc.descriptionIn 1888, Hilbert described how to find real polynomials in more than one variable which take only non-negative values but are not a sum of squares of polynomials. His construction was so restrictive that no explicit examples appeared until the late 1960s. We revisit and generalize Hilbert's construction and present many such polynomials.
dc.identifierhttps://arxiv.org/abs/0707.2156
dc.identifierhttp://arxiv.org/abs/0707.2156
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134434
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject11E20, 11E25, 12D99, 14H50, 14N15
dc.titleOn Hilbert's construction of positive polynomials
dc.typetext

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