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dc.contributor.author
Pérez, Mariana Valeria  
dc.contributor.author
Privitelli, Melina Lorena  
dc.date.available
2022-03-17T21:09:55Z  
dc.date.issued
2022-07  
dc.identifier.citation
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  
dc.identifier.issn
0022-314X  
dc.identifier.uri
http://hdl.handle.net/11336/153545  
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.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Inc Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
COMPLETE INTERSECTIONS  
dc.subject
FINITE FIELDS  
dc.subject
RATIONAL SOLUTIONS  
dc.subject
SINGULAR LOCUS  
dc.subject
SYSTEMS OF DIAGONAL EQUATIONS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
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
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2022-03-14T21:05:52Z  
dc.identifier.eissn
1096-1658  
dc.journal.volume
236  
dc.journal.pagination
160-187  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Pérez, Mariana Valeria. Universidad Nacional de Hurlingham. Instituto de de Tecnologia E Ingenieria.; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Privitelli, Melina Lorena. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Journal Of Number Theory  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022314X21002705  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jnt.2021.07.015  

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