Teorema de Minkowski sobre reticulados e aplicações

Detalhes bibliográficos
Autor(a) principal: Costa, Ana Paula de Melo da
Data de Publicação: 2019
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/9349
Resumo: The aim of this work is to be an early study on Arithmetic Geometry, focused on the famous Minkowski's Theorem on lattices. Our goal is to make a substantial study from the definition of lattices until some applications of this main theorem on well-known results on Elementary Number Theopry, Diophantine Approximation and Algebraic Number Theory. For this purpose, some basic definitions and concepts are given, but approached in a brief way.
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spelling Oliveira, Ricardo Nunes dehttp://lattes.cnpq.br/0563210461148997Chaves, Ana Paula de Araújohttp://lattes.cnpq.br/2332073500640724Oliveira, Ricardo Nunes deChaves, Ana Paula de AraújoAndrade , Kamila da SilvaLopes, José Othon Dantashttp://lattes.cnpq.br/7903907956859355Costa, Ana Paula de Melo da2019-03-19T15:56:07Z2019-02-28COSTA, A. P. M. Teorema de Minkowski sobre reticulados e aplicações. 2019. 64 f Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.http://repositorio.bc.ufg.br/tede/handle/tede/9349The aim of this work is to be an early study on Arithmetic Geometry, focused on the famous Minkowski's Theorem on lattices. Our goal is to make a substantial study from the definition of lattices until some applications of this main theorem on well-known results on Elementary Number Theopry, Diophantine Approximation and Algebraic Number Theory. For this purpose, some basic definitions and concepts are given, but approached in a brief way.Este trabalho tem por objetivo iniciar o estudo na Geometria Aritmética com o foco no célebre Teorema do Minkowski sobre reticulados. O intuito é fazer um estudo abrangente desde a definição de reticulados, até as aplicações deste teorema em Teoria Elementar dos Números, Aproximação Diofantina e Teoria Algébrica dos Números. Para esse propósito, algumas definições e conceitos básicos são dados, mas abordados de forma sucinta.Submitted by Liliane Ferreira (ljuvencia30@gmail.com) on 2019-03-19T15:55:51Z No. of bitstreams: 2 Dissertação - Ana Paula de Melo da Costa - 2019.pdf: 1661036 bytes, checksum: 69e7ea0ec0b2848af07c1d8d15787861 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Liliane Ferreira (ljuvencia30@gmail.com) on 2019-03-19T15:56:07Z (GMT) No. of bitstreams: 2 Dissertação - Ana Paula de Melo da Costa - 2019.pdf: 1661036 bytes, checksum: 69e7ea0ec0b2848af07c1d8d15787861 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2019-03-19T15:56:07Z (GMT). No. of bitstreams: 2 Dissertação - Ana Paula de Melo da Costa - 2019.pdf: 1661036 bytes, checksum: 69e7ea0ec0b2848af07c1d8d15787861 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2019-02-28Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPqapplication/pdfporUniversidade Federal de GoiásPrograma de Pós-graduação em Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessTeoria algébrica dos númerosTeorema de MinkowskiReticuladosGrupo de classesAlgebraic number theoryMinkowski's theoremLatticesClass-groupMATEMATICA::ALGEBRATeorema de Minkowski sobre reticulados e aplicaçõesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6600717948137941247600600600600-4268777512335152015-6383368357733941552-2555911436985713659reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGCC-LICENSElicense_urllicense_urltext/plain; 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dc.title.eng.fl_str_mv Teorema de Minkowski sobre reticulados e aplicações
title Teorema de Minkowski sobre reticulados e aplicações
spellingShingle Teorema de Minkowski sobre reticulados e aplicações
Costa, Ana Paula de Melo da
Teoria algébrica dos números
Teorema de Minkowski
Reticulados
Grupo de classes
Algebraic number theory
Minkowski's theorem
Lattices
Class-group
MATEMATICA::ALGEBRA
title_short Teorema de Minkowski sobre reticulados e aplicações
title_full Teorema de Minkowski sobre reticulados e aplicações
title_fullStr Teorema de Minkowski sobre reticulados e aplicações
title_full_unstemmed Teorema de Minkowski sobre reticulados e aplicações
title_sort Teorema de Minkowski sobre reticulados e aplicações
author Costa, Ana Paula de Melo da
author_facet Costa, Ana Paula de Melo da
author_role author
dc.contributor.advisor1.fl_str_mv Oliveira, Ricardo Nunes de
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/0563210461148997
dc.contributor.advisor-co1.fl_str_mv Chaves, Ana Paula de Araújo
dc.contributor.advisor-co1Lattes.fl_str_mv http://lattes.cnpq.br/2332073500640724
dc.contributor.referee1.fl_str_mv Oliveira, Ricardo Nunes de
dc.contributor.referee2.fl_str_mv Chaves, Ana Paula de Araújo
dc.contributor.referee3.fl_str_mv Andrade , Kamila da Silva
dc.contributor.referee4.fl_str_mv Lopes, José Othon Dantas
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/7903907956859355
dc.contributor.author.fl_str_mv Costa, Ana Paula de Melo da
contributor_str_mv Oliveira, Ricardo Nunes de
Chaves, Ana Paula de Araújo
Oliveira, Ricardo Nunes de
Chaves, Ana Paula de Araújo
Andrade , Kamila da Silva
Lopes, José Othon Dantas
dc.subject.por.fl_str_mv Teoria algébrica dos números
Teorema de Minkowski
Reticulados
Grupo de classes
Algebraic number theory
Minkowski's theorem
Lattices
Class-group
topic Teoria algébrica dos números
Teorema de Minkowski
Reticulados
Grupo de classes
Algebraic number theory
Minkowski's theorem
Lattices
Class-group
MATEMATICA::ALGEBRA
dc.subject.cnpq.fl_str_mv MATEMATICA::ALGEBRA
description The aim of this work is to be an early study on Arithmetic Geometry, focused on the famous Minkowski's Theorem on lattices. Our goal is to make a substantial study from the definition of lattices until some applications of this main theorem on well-known results on Elementary Number Theopry, Diophantine Approximation and Algebraic Number Theory. For this purpose, some basic definitions and concepts are given, but approached in a brief way.
publishDate 2019
dc.date.accessioned.fl_str_mv 2019-03-19T15:56:07Z
dc.date.issued.fl_str_mv 2019-02-28
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv COSTA, A. P. M. Teorema de Minkowski sobre reticulados e aplicações. 2019. 64 f Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/9349
identifier_str_mv COSTA, A. P. M. Teorema de Minkowski sobre reticulados e aplicações. 2019. 64 f Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.
url http://repositorio.bc.ufg.br/tede/handle/tede/9349
dc.language.iso.fl_str_mv por
language por
dc.relation.program.fl_str_mv 6600717948137941247
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dc.publisher.none.fl_str_mv Universidade Federal de Goiás
dc.publisher.program.fl_str_mv Programa de Pós-graduação em Matemática (IME)
dc.publisher.initials.fl_str_mv UFG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Matemática e Estatística - IME (RG)
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