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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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