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

Pérez, Mariana Valeria

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

dc.contributor.author	Pérez, Mariana Valeria
dc.date.accessioned	2025-01-30T00:05:42Z
dc.date.available	2025-01-30T00:05:42Z
dc.date.issued	2022
dc.description.abstract	In 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.
dc.description.filiation	Fil: Pérez, Mariana Valeria. Universidad Nacional de Hurlingham. Insituto de Tecnología e Ingeniería; Argentina
dc.description.filiation	Fil: Privitelli, Melina Lorena. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.format.mimetype	application/pdf
dc.identifier.citation	Pérez, Mariana Valeria; Privitelli, Melina Lorena (2022) On the number of solutions of systems of certain diagonal equations over finite fields; Academic Press Inc Elsevier Science; Journal Of Number Theory, 236, pp. 160-187
dc.identifier.doi	http://dx.doi.org/10.1016/j.jnt.2021.07.015
dc.identifier.issn	0022-314X
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0022314X21002705
dc.identifier.uri	https://repositorio.unahur.edu.ar/handle/123456789/508
dc.journal.pagination	160-187
dc.journal.title	Journal of Number Theory
dc.journal.volume	236
dc.language.iso	eng
dc.publisher	Academic Press
dc.rights.license	info:eu-repo/semantics/openAccess
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.subject.ocde1	Ciencias Exactas y Naturales
dc.subject.ocde2	Matemáticas
dc.subject.unahur	Ciencias Básicas y Aplicadas
dc.title	On the number of solutions of systems of certain diagonal equations over finite fields
dc.type	info:eu-repo/semantics/article
dc.type.oaire	info:eu-repo/semantics/article
dc.type.snrd	info:ar-repo/semantics/artículo
dc.type.version	info:eu-repo/semantics/publishedVersion
dspace.entity.type	Publication