Estimates on the number of Fq–rational solutions of variants of diagonal equations over finite fields

Privitelli, Melina Lorena

Publication:
Estimates on the number of Fq–rational solutions of variants of diagonal equations over finite fields

dc.contributor.author	Privitelli, Melina Lorena
dc.date.accessioned	2025-01-30T15:57:42Z
dc.date.available	2025-01-30T15:57:42Z
dc.date.issued	2020
dc.description.abstract	In this paper we study the set of Fq-rational solutions of equations defined by polynomials evaluated in power-sum polynomials with coefficients in Fq. This is done by means of applying a methodology which relies on the study of the geometry of the set of common zeros of symmetric polynomials over the algebraic closure of Fq. We provide improved estimates and existence results of Fq-rational solutions to the following equations: deformed diagonal equations, generalized Markoff-Hurwitz-type equations and Carlitz’s equations. We extend these techniques to more general variants of diagonal equations over finite fields
dc.description.filiation	Fil: Pérez, Mariana Valeria. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Hurlingham. Instituto de de Tecnologia e Ingenieria.; Argentina
dc.description.filiation	Fil: Privitelli, Melina Lorena. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
dc.format.mimetype	application/pdf
dc.identifier.citation	Pérez, Mariana Valeria; Privitelli, Melina Lorena; Estimates on the number of Fq–rational solutions of variants of diagonal equations over finite fields (2020) Finite Fields and Their Applications; 68, pp. 1-30
dc.identifier.doi	http://dx.doi.org/10.1016/j.ffa.2020.101728
dc.identifier.issn	1071-5797
dc.identifier.uri	https://linkinghub.elsevier.com/retrieve/pii/S1071579720300976
dc.identifier.uri	https://repositorio.unahur.edu.ar/handle/123456789/524
dc.journal.pagination	1-30
dc.journal.title	Finite Fields and their Applications
dc.journal.volume	68
dc.language.iso	eng
dc.publisher	Elsevier
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	Estimates on the number of Fq–rational solutions of variants of 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