Towards a proof of Catalan's conjecture
"Catalan's conjecture is one of those problems in number theory having an incredibly elaborate solution, despite the fact that they can be stated in a couple of lines, unambiguous as can be. Not surprisingly, it remained unsolved for more than a century and a half. The formulation of the c...
- Autores:
-
Auly Botero, Juan Sebastián
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2012
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/56281
- Acceso en línea:
- http://hdl.handle.net/1992/56281
- Palabra clave:
- Catalan's conjecture
Análisis combinatorio
Teoría de modelos
Teoría de grafos
Matemáticas
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/4.0/
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| dc.title.none.fl_str_mv |
Towards a proof of Catalan's conjecture |
| title |
Towards a proof of Catalan's conjecture |
| spellingShingle |
Towards a proof of Catalan's conjecture Catalan's conjecture Análisis combinatorio Teoría de modelos Teoría de grafos Matemáticas |
| title_short |
Towards a proof of Catalan's conjecture |
| title_full |
Towards a proof of Catalan's conjecture |
| title_fullStr |
Towards a proof of Catalan's conjecture |
| title_full_unstemmed |
Towards a proof of Catalan's conjecture |
| title_sort |
Towards a proof of Catalan's conjecture |
| dc.creator.fl_str_mv |
Auly Botero, Juan Sebastián |
| dc.contributor.advisor.none.fl_str_mv |
Onshuus Niño, Alf |
| dc.contributor.author.none.fl_str_mv |
Auly Botero, Juan Sebastián |
| dc.contributor.jury.none.fl_str_mv |
Cortissoz Iriarte, Jean Carlos |
| dc.subject.keyword.none.fl_str_mv |
Catalan's conjecture |
| topic |
Catalan's conjecture Análisis combinatorio Teoría de modelos Teoría de grafos Matemáticas |
| dc.subject.armarc.none.fl_str_mv |
Análisis combinatorio Teoría de modelos Teoría de grafos |
| dc.subject.themes.es_CO.fl_str_mv |
Matemáticas |
| description |
"Catalan's conjecture is one of those problems in number theory having an incredibly elaborate solution, despite the fact that they can be stated in a couple of lines, unambiguous as can be. Not surprisingly, it remained unsolved for more than a century and a half. The formulation of the conjecture goes back to 1844, when Crelle's Journal [5] published an excerpt from a letter the Belgian mathematician Eugène Charles Catalan sent to August Leopold Crelle, editor of Crelle's Journal..." |
| publishDate |
2012 |
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2012-07-06 |
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2022-03-09T22:22:34Z |
| dc.date.available.none.fl_str_mv |
2022-03-09T22:22:34Z |
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Trabajo de grado - Pregrado |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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http://hdl.handle.net/1992/56281 |
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instname:Universidad de los Andes |
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reponame:Repositorio Institucional Séneca |
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repourl:https://repositorio.uniandes.edu.co/ |
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http://hdl.handle.net/1992/56281 |
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instname:Universidad de los Andes reponame:Repositorio Institucional Séneca repourl:https://repositorio.uniandes.edu.co/ |
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eng |
| language |
eng |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ |
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info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ http://purl.org/coar/access_right/c_abf2 |
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openAccess |
| dc.format.extent.es_CO.fl_str_mv |
51 páginas |
| dc.publisher.es_CO.fl_str_mv |
Universidad de los Andes |
| dc.publisher.program.es_CO.fl_str_mv |
Matemáticas |
| dc.publisher.faculty.es_CO.fl_str_mv |
Facultad de Ciencias |
| dc.publisher.department.es_CO.fl_str_mv |
Departamento de Matemáticas |
| institution |
Universidad de los Andes |
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| spelling |
Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Onshuus Niño, Alf76e01fc9-6712-4469-b387-7b78bb0b803b600Auly Botero, Juan Sebastiánd8595b99-5546-4883-9bc7-65942ee8e40e600Cortissoz Iriarte, Jean Carlos2022-03-09T22:22:34Z2022-03-09T22:22:34Z2012-07-06http://hdl.handle.net/1992/56281instname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/"Catalan's conjecture is one of those problems in number theory having an incredibly elaborate solution, despite the fact that they can be stated in a couple of lines, unambiguous as can be. Not surprisingly, it remained unsolved for more than a century and a half. The formulation of the conjecture goes back to 1844, when Crelle's Journal [5] published an excerpt from a letter the Belgian mathematician Eugène Charles Catalan sent to August Leopold Crelle, editor of Crelle's Journal..."MatemáticoPregrado51 páginasengUniversidad de los AndesMatemáticasFacultad de CienciasDepartamento de MatemáticasTowards a proof of Catalan's conjectureTrabajo de grado - Pregradoinfo:eu-repo/semantics/bachelorThesishttp://purl.org/coar/resource_type/c_7a1fhttp://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/TPCatalan's conjectureAnálisis combinatorioTeoría de modelosTeoría de grafosMatemáticas200521681PublicationTHUMBNAILTowards a Proof of Catalan's Conjecture (thesis draft 2).pdf.jpgTowards a Proof of Catalan's Conjecture (thesis draft 2).pdf.jpgIM Thumbnailimage/jpeg4218https://repositorio.uniandes.edu.co/bitstreams/531771c9-7b5d-416b-9057-1863790fa3f8/download9b673e2c83332e51e181311481e23839MD54ORIGINALTowards a Proof of Catalan's Conjecture (thesis draft 2).pdfTowards a Proof of Catalan's Conjecture (thesis draft 2).pdfapplication/pdf436280https://repositorio.uniandes.edu.co/bitstreams/8fb13045-ace6-4cdc-a24f-7ccc87140c96/downloadc8befea6691432d2a6c6f999b98d8502MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81810https://repositorio.uniandes.edu.co/bitstreams/88db206c-38d7-43ec-bd62-322fc2973d36/download5aa5c691a1ffe97abd12c2966efcb8d6MD51TEXTTowards a Proof of Catalan's Conjecture (thesis draft 2).pdf.txtTowards a Proof of Catalan's Conjecture (thesis draft 2).pdf.txtExtracted texttext/plain108407https://repositorio.uniandes.edu.co/bitstreams/6cd9f9b7-d397-404c-830d-0ca13d86596f/download4dd2b7e00b431fab51c64607a801c75eMD531992/56281oai:repositorio.uniandes.edu.co:1992/562812023-10-10 15:21:53.844http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.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 |