Conjectura de Artin para pares de formas aditivas de grau 6

Detalhes bibliográficos
Autor(a) principal: Celis Cerón, M.A
Data de Publicação: 2014
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/4090
Resumo: Celis Cerón, Mónica Andrea. Artin’s conjecture for pairs of additive sextic forms. Goiânia, 2014. 62p. MSc. Dissertation. Instituto de Matemática e Estatística, Universidade Federal de Goiás. Consider the system of equations a1xk1+ a2xk2+ + asxks= 0; b1xk1+ b2xk2+ + bsxks= 0; where a1; a2; ; as; b1; b2; ; bs 2 Z A special case of Artin’s conjecture states that the above system must have nontrivial solutions in every p-adic field, Qp, provided only that s 2k2+ 1. In this text we show that the conjecture is true when k = 6.
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spelling Rodrigues, P. H. Ahttp://lattes.cnpq.br/8910130626123426Rodrigues, P. H. ABerlatto, A. AChaves , Ana Paulahttp://lattes.cnpq.br/2937525224842759Celis Cerón, M.A2015-02-05T10:59:19Z2014-04-25CELIS CERÓN, M.A. Conjectura de Artin para pares de formas aditivas de grau 6. 2014. 65 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2014.http://repositorio.bc.ufg.br/tede/handle/tede/4090Celis Cerón, Mónica Andrea. Artin’s conjecture for pairs of additive sextic forms. Goiânia, 2014. 62p. MSc. Dissertation. Instituto de Matemática e Estatística, Universidade Federal de Goiás. Consider the system of equations a1xk1+ a2xk2+ + asxks= 0; b1xk1+ b2xk2+ + bsxks= 0; where a1; a2; ; as; b1; b2; ; bs 2 Z A special case of Artin’s conjecture states that the above system must have nontrivial solutions in every p-adic field, Qp, provided only that s 2k2+ 1. In this text we show that the conjecture is true when k = 6.Celis Cerón, Mónica Andrea. Conjectura de Artin para pares de formas aditivas de grau 6. Goiânia, 2014. 62p. Dissertação de Mestrado. Instituto de Matemática e Estatística, Universidade Federal de Goiás. Consideremos o sistema de equações a1xk1+ a2xk2+...+ asxks= 0; b1xk1+ b2xk2+ + bsxks= 0; onde, a 1; a 2; ; as; b1; b2; ; bs 2 Z. Um caso especial da conjectura de Artin nos diz que o sistema anterior tem solução não trivial em todo corpo p-ádico, Qp, sempre que s 2k2+ 1. Neste trabalho mostraremos que a conjectura é válida quando k = 6.Submitted by Luanna Matias (lua_matias@yahoo.com.br) on 2015-02-05T10:05:56Z No. of bitstreams: 2 Dissertaçao - Mónica Andrea Celis Cerón - 2014.pdf: 566862 bytes, checksum: b41da2ec2c63c537f6b78488d3d8c179 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2015-02-05T10:59:19Z (GMT) No. of bitstreams: 2 Dissertaçao - Mónica Andrea Celis Cerón - 2014.pdf: 566862 bytes, checksum: b41da2ec2c63c537f6b78488d3d8c179 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Made available in DSpace on 2015-02-05T10:59:19Z (GMT). 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dc.title.eng.fl_str_mv Conjectura de Artin para pares de formas aditivas de grau 6
dc.title.alternative.eng.fl_str_mv Artin’s conjecture for pairs of additive sextic forms
title Conjectura de Artin para pares de formas aditivas de grau 6
spellingShingle Conjectura de Artin para pares de formas aditivas de grau 6
Celis Cerón, M.A
Solução p-ádica
Conjectura de Artin
Pares de formas aditivas
p-adic solubility
Artin’s conjecture
Pairs of additive forms
MATEMATICA::ALGEBRA
title_short Conjectura de Artin para pares de formas aditivas de grau 6
title_full Conjectura de Artin para pares de formas aditivas de grau 6
title_fullStr Conjectura de Artin para pares de formas aditivas de grau 6
title_full_unstemmed Conjectura de Artin para pares de formas aditivas de grau 6
title_sort Conjectura de Artin para pares de formas aditivas de grau 6
author Celis Cerón, M.A
author_facet Celis Cerón, M.A
author_role author
dc.contributor.advisor1.fl_str_mv Rodrigues, P. H. A
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/8910130626123426
dc.contributor.referee1.fl_str_mv Rodrigues, P. H. A
dc.contributor.referee2.fl_str_mv Berlatto, A. A
dc.contributor.referee3.fl_str_mv Chaves , Ana Paula
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/2937525224842759
dc.contributor.author.fl_str_mv Celis Cerón, M.A
contributor_str_mv Rodrigues, P. H. A
Rodrigues, P. H. A
Berlatto, A. A
Chaves , Ana Paula
dc.subject.por.fl_str_mv Solução p-ádica
Conjectura de Artin
Pares de formas aditivas
topic Solução p-ádica
Conjectura de Artin
Pares de formas aditivas
p-adic solubility
Artin’s conjecture
Pairs of additive forms
MATEMATICA::ALGEBRA
dc.subject.eng.fl_str_mv p-adic solubility
Artin’s conjecture
Pairs of additive forms
dc.subject.cnpq.fl_str_mv MATEMATICA::ALGEBRA
description Celis Cerón, Mónica Andrea. Artin’s conjecture for pairs of additive sextic forms. Goiânia, 2014. 62p. MSc. Dissertation. Instituto de Matemática e Estatística, Universidade Federal de Goiás. Consider the system of equations a1xk1+ a2xk2+ + asxks= 0; b1xk1+ b2xk2+ + bsxks= 0; where a1; a2; ; as; b1; b2; ; bs 2 Z A special case of Artin’s conjecture states that the above system must have nontrivial solutions in every p-adic field, Qp, provided only that s 2k2+ 1. In this text we show that the conjecture is true when k = 6.
publishDate 2014
dc.date.issued.fl_str_mv 2014-04-25
dc.date.accessioned.fl_str_mv 2015-02-05T10:59:19Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.citation.fl_str_mv CELIS CERÓN, M.A. Conjectura de Artin para pares de formas aditivas de grau 6. 2014. 65 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2014.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/4090
identifier_str_mv CELIS CERÓN, M.A. Conjectura de Artin para pares de formas aditivas de grau 6. 2014. 65 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2014.
url http://repositorio.bc.ufg.br/tede/handle/tede/4090
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publisher.none.fl_str_mv Universidade Federal de Goiás
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