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dc.creatorOliveira, José Alves-
dc.creatorBorges, Herivelto-
dc.creatorMartínez, F. E. Brochero-
dc.date.accessioned2024-01-26T18:13:06Z-
dc.date.available2024-01-26T18:13:06Z-
dc.date.issued2023-09-
dc.identifier.citationOLIVEIRA, J. A.; BORGES, H.; MARTÍNEZ, F. E. B. On the number of rational points on artin-schreier hypersurfaces. Finite Fields and Their Applications, [S.l.], v. 90, Sept. 2023.pt_BR
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S1071579723000710pt_BR
dc.identifier.urihttp://repositorio.ufla.br/jspui/handle/1/58847-
dc.description.abstractLet denote the finite field with elements. In this work, we study the number of -rational points of the affine hypersurfaces given by . We prove that if has a nonzero trace over , then Weil's bound cannot be achieved and that a sharp bound can be explicitly provided. In the case , we give necessary and sufficient conditions for Weil's bound to be attained. Furthermore, we present several new cases in which formulas for the number of -rational points can be obtained.pt_BR
dc.languageen_USpt_BR
dc.publisherElsevierpt_BR
dc.rightsrestrictAccesspt_BR
dc.sourceFinite Fields and Their Applicationspt_BR
dc.subjectWeil's boundpt_BR
dc.subjectArtin-Schreier equationspt_BR
dc.subjectFinite fieldspt_BR
dc.subjectGauss sumspt_BR
dc.titleOn the number of rational points on artin-schreier hypersurfacespt_BR
dc.typeArtigopt_BR
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