On the number of rational points on artin-schreier hypersurfaces

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorOliveira, José Alves-
Autor(es): dc.creatorBorges, Herivelto-
Autor(es): dc.creatorMartínez, F. E. Brochero-
Data de aceite: dc.date.accessioned2026-02-09T11:39:17Z-
Data de disponibilização: dc.date.available2026-02-09T11:39:17Z-
Data de envio: dc.date.issued2024-01-25-
Data de envio: dc.date.issued2024-01-25-
Data de envio: dc.date.issued2023-09-
Fonte completa do material: dc.identifierhttps://repositorio.ufla.br/handle/1/58847-
Fonte completa do material: dc.identifierhttps://www.sciencedirect.com/science/article/pii/S1071579723000710-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1144456-
Descrição: dc.descriptionLet 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.-
Idioma: dc.languageen-
Publicador: dc.publisherElsevier-
Direitos: dc.rightsrestrictAccess-
???dc.source???: dc.sourceFinite Fields and Their Applications-
Palavras-chave: dc.subjectWeil's bound-
Palavras-chave: dc.subjectArtin-Schreier equations-
Palavras-chave: dc.subjectFinite fields-
Palavras-chave: dc.subjectGauss sums-
Título: dc.titleOn the number of rational points on artin-schreier hypersurfaces-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional da Universidade Federal de Lavras (RIUFLA)

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