Integer and Rational Solutions to Polynomial Equations

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dc.creatorChalmers, Gordon
dc.date2005-03-25
dc.date.accessioned2026-07-07T05:54:29Z
dc.date.available2026-07-07T05:54:29Z
dc.descriptionA formalism is given to count integer and rational solutions to polynomial equations with rational coefficients. These polynomials $P(x)$ are parameterized by three integers, labeling an elliptic curve. The counting of the rational solutions to $y^2=P(x)$ is facilitated by another elliptic curve with integral coefficients. The problem of counting is described by two elliptic curves and a map between them.
dc.description7 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/physics/0503200
dc.identifierhttp://arxiv.org/abs/physics/0503200
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86979
dc.subjectGeneral Physics
dc.titleInteger and Rational Solutions to Polynomial Equations
dc.typetext

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