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Cited 19 time in webofscience Cited 19 time in scopus
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An elementary bound for the number of points of a hypersurface over a finite field

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dc.contributor.authorHomma, Masaaki-
dc.contributor.authorKim, Seon Jeong-
dc.date.accessioned2022-12-27T00:36:29Z-
dc.date.available2022-12-27T00:36:29Z-
dc.date.issued2013-03-
dc.identifier.issn1071-5797-
dc.identifier.issn1090-2465-
dc.identifier.urihttps://scholarworks.gnu.ac.kr/handle/sw.gnu/20781-
dc.description.abstractWe establish an upper bound for the number of points of a hypersurface without a linear component over a finite field, which is analogous to the Sziklai bound for a plane curve. Our bound is the best one for irreducible hypersurfaces that is linear on their degrees, because, for each finite field, there are at least two irreducible hypersurfaces of different degrees that reach our bound. (C) 2012 Elsevier Inc. All rights reserved.-
dc.format.extent8-
dc.language영어-
dc.language.isoENG-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleAn elementary bound for the number of points of a hypersurface over a finite field-
dc.typeArticle-
dc.publisher.location미국-
dc.identifier.doi10.1016/j.ffa.2012.11.002-
dc.identifier.scopusid2-s2.0-84873204718-
dc.identifier.wosid000314668400008-
dc.identifier.bibliographicCitationFINITE FIELDS AND THEIR APPLICATIONS, v.20, pp 76 - 83-
dc.citation.titleFINITE FIELDS AND THEIR APPLICATIONS-
dc.citation.volume20-
dc.citation.startPage76-
dc.citation.endPage83-
dc.type.docTypeArticle-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClasssci-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics, Applied-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusPROJECTIVE-SPACE-
dc.subject.keywordPlusPLANE CURVE-
dc.subject.keywordAuthorHypersurface-
dc.subject.keywordAuthorFinite field-
dc.subject.keywordAuthorNumber of points-
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