On the number of solutions of systems of certain diagonal equations over finite fields
- Autores
- Pérez, Mariana Valeria; Privitelli, Melina Lorena
- Año de publicación
- 2022
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Fil: Pérez, Mariana Valeria. Universidad Nacional de Hurlingham. Instituto de de Tecnologia E Ingenieria.; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Privitelli, Melina Lorena. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina - Materia
-
COMPLETE INTERSECTIONS
FINITE FIELDS
RATIONAL SOLUTIONS
SINGULAR LOCUS
SYSTEMS OF DIAGONAL EQUATIONS - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/153545
Ver los metadatos del registro completo
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CONICET Digital (CONICET) |
spelling |
On the number of solutions of systems of certain diagonal equations over finite fieldsPérez, Mariana ValeriaPrivitelli, Melina LorenaCOMPLETE INTERSECTIONSFINITE FIELDSRATIONAL SOLUTIONSSINGULAR LOCUSSYSTEMS OF DIAGONAL EQUATIONShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In 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.Fil: Pérez, Mariana Valeria. Universidad Nacional de Hurlingham. Instituto de de Tecnologia E Ingenieria.; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Privitelli, Melina Lorena. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAcademic Press Inc Elsevier Science2022-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/153545Pérez, Mariana Valeria; Privitelli, Melina Lorena; On the number of solutions of systems of certain diagonal equations over finite fields; Academic Press Inc Elsevier Science; Journal Of Number Theory; 236; 7-2022; 160-1870022-314X1096-1658CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022314X21002705info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jnt.2021.07.015info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:38:35Zoai:ri.conicet.gov.ar:11336/153545instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:38:35.492CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
On the number of solutions of systems of certain diagonal equations over finite fields |
title |
On the number of solutions of systems of certain diagonal equations over finite fields |
spellingShingle |
On the number of solutions of systems of certain diagonal equations over finite fields Pérez, Mariana Valeria COMPLETE INTERSECTIONS FINITE FIELDS RATIONAL SOLUTIONS SINGULAR LOCUS SYSTEMS OF DIAGONAL EQUATIONS |
title_short |
On the number of solutions of systems of certain diagonal equations over finite fields |
title_full |
On the number of solutions of systems of certain diagonal equations over finite fields |
title_fullStr |
On the number of solutions of systems of certain diagonal equations over finite fields |
title_full_unstemmed |
On the number of solutions of systems of certain diagonal equations over finite fields |
title_sort |
On the number of solutions of systems of certain diagonal equations over finite fields |
dc.creator.none.fl_str_mv |
Pérez, Mariana Valeria Privitelli, Melina Lorena |
author |
Pérez, Mariana Valeria |
author_facet |
Pérez, Mariana Valeria Privitelli, Melina Lorena |
author_role |
author |
author2 |
Privitelli, Melina Lorena |
author2_role |
author |
dc.subject.none.fl_str_mv |
COMPLETE INTERSECTIONS FINITE FIELDS RATIONAL SOLUTIONS SINGULAR LOCUS SYSTEMS OF DIAGONAL EQUATIONS |
topic |
COMPLETE INTERSECTIONS FINITE FIELDS RATIONAL SOLUTIONS SINGULAR LOCUS SYSTEMS OF DIAGONAL EQUATIONS |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
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. Fil: Pérez, Mariana Valeria. Universidad Nacional de Hurlingham. Instituto de de Tecnologia E Ingenieria.; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Privitelli, Melina Lorena. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina |
description |
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. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-07 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/153545 Pérez, Mariana Valeria; Privitelli, Melina Lorena; On the number of solutions of systems of certain diagonal equations over finite fields; Academic Press Inc Elsevier Science; Journal Of Number Theory; 236; 7-2022; 160-187 0022-314X 1096-1658 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/153545 |
identifier_str_mv |
Pérez, Mariana Valeria; Privitelli, Melina Lorena; On the number of solutions of systems of certain diagonal equations over finite fields; Academic Press Inc Elsevier Science; Journal Of Number Theory; 236; 7-2022; 160-187 0022-314X 1096-1658 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022314X21002705 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jnt.2021.07.015 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Academic Press Inc Elsevier Science |
publisher.none.fl_str_mv |
Academic Press Inc Elsevier Science |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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1844614409286057984 |
score |
13.070432 |