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On the number of solutions of systems of certain diagonal equations over finite fields

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dc.date.accessioned2025-07-03T15:32:02Z
dc.date.issued2022
dc.description.abstractIn this paper we obtain explicit estimates and existence results on the number of Fq-rational solutions of certain systems defined by families of diagonal equations over finite fields. Our approach relies on the study of the geometric properties of the varieties defined by the systems involved. We apply these results to a generalization of Waring's problem and the distribution of solutions of congruences modulo a prime number.en
dc.format.mimetypeapplication/pdf
dc.identifier.citationPérez, M. V. Y Privitelli, M.L. (2022) On the number of solutions of systems of certain diagonal equations over finite fields. Journal of Number Theory, 236, pp. 160-187
dc.identifier.doihttp://dx.doi.org/10.1016/j.jnt.2021.07.015
dc.identifier.eissn0022-314X
dc.identifier.urihttps://repositorio.unahur.edu.ar/handle/123456789/212
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0022314X21002705
dc.journal.pagination160-187
dc.journal.titleJournal of Number Theory
dc.journal.volume236
dc.language.isoeng
dc.publisherElsevier
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022314X21002705
dc.rights.licenseinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.subject.ocdeCiencias naturales::Matemáticas::Matemáticas puras
dc.titleOn the number of solutions of systems of certain diagonal equations over finite fieldsen
dc.typejournal article
dc.type.oaireinfo:eu-repo/semantics/article
dc.type.snrdinfo:ar-repo/semantics/artículo
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
unahur.areaConocimientoCiencias Exactas y Naturaleses
unahur.funcionMarcoInvestigaciónes

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