On maximal and minimal hypersurfaces of Fermat type

dc.creator	Oliveira, José Alves
dc.date.accessioned	2024-01-26T17:39:50Z
dc.date.available	2024-01-26T17:39:50Z
dc.date.issued	2023
dc.description.abstract	Let Fq be a finite field with q = p n elements. In this paper, we study the number of Fq-rational points on the affine hypersurface X given by a1x d1 1 + · · · + asx ds s = b, where b ∈ F ∗ q . A classic well-konwn result from Weil yields a bound for such number of points. This paper presents necessary and sufficient conditions for the maximality and minimality of X with respect to Weil’s bound.	pt_BR
dc.identifier.citation	OLIVEIRA, J. A. On maximal and minimal hypersurfaces of Fermat type. American Mathematical, [S.l], 2023.	pt_BR
dc.identifier.uri	https://repositorio.ufla.br/handle/1/58846
dc.identifier.uri	https://arxiv.org/abs/2110.07452	pt_BR
dc.language	en_US	pt_BR
dc.publisher	Cornel University	pt_BR
dc.rights	openAccess	pt_BR
dc.source	American Mathematical	pt_BR
dc.subject	Number theory	pt_BR
dc.subject	Algebraic geometry	pt_BR
dc.title	On maximal and minimal hypersurfaces of Fermat type	pt_BR
dc.type	Artigo	pt_BR

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