On the number of rational points on artin-schreier hypersurfaces

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Campo DC	Valor	Idioma
dc.creator	Oliveira, José Alves	-
dc.creator	Borges, Herivelto	-
dc.creator	Martínez, F. E. Brochero	-
dc.date.accessioned	2024-01-26T18:13:06Z	-
dc.date.available	2024-01-26T18:13:06Z	-
dc.date.issued	2023-09	-
dc.identifier.citation	OLIVEIRA, 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.uri	https://www.sciencedirect.com/science/article/pii/S1071579723000710	pt_BR
dc.identifier.uri	http://repositorio.ufla.br/jspui/handle/1/58847	-
dc.description.abstract	Let 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.language	en_US	pt_BR
dc.publisher	Elsevier	pt_BR
dc.rights	restrictAccess	pt_BR
dc.source	Finite Fields and Their Applications	pt_BR
dc.subject	Weil's bound	pt_BR
dc.subject	Artin-Schreier equations	pt_BR
dc.subject	Finite fields	pt_BR
dc.subject	Gauss sums	pt_BR
dc.title	On the number of rational points on artin-schreier hypersurfaces	pt_BR
dc.type	Artigo	pt_BR
Aparece nas coleções:	DMM - Artigos publicados em periódicos

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