On Katz's bound for number of elements with given trace and norm

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dc.creatorMoisio, Marko
dc.creatorWan, Daqing
dc.date2008-02-21
dc.date.accessioned2026-07-07T09:22:34Z
dc.date.available2026-07-07T09:22:34Z
dc.descriptionIn this note an improvement of the Katz's bound on the number of elements in a finite field with given trace and norm is given. The improvement is obtained by reducing the problem to estimating the number of rational points on certain toric Calabi-Yau hypersurface, and then to use detailed cohomological calculations by Rojas-Leon and the second author for such toric hypersurfaces.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0802.3200
dc.identifierhttp://arxiv.org/abs/0802.3200
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155417
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11T99; 14G10
dc.titleOn Katz's bound for number of elements with given trace and norm
dc.typetext

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