The irrationality exponents of computable numbers
- Autores
- Becher, Veronica Andrea; Bugeaud, Yann; Slaman, Theodore A.
- Año de publicación
- 2016
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We establish that there exist computable real numbers whose irrationality exponent is not computable.
Fil: Becher, Veronica Andrea. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Bugeaud, Yann. Université de Strasbourg; Francia
Fil: Slaman, Theodore A.. University of California at Berkeley; Estados Unidos - Materia
-
Cantor Set
Computability
Irrationality Exponent - 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:11336/59627
Ver los metadatos del registro completo
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The irrationality exponents of computable numbersBecher, Veronica AndreaBugeaud, YannSlaman, Theodore A.Cantor SetComputabilityIrrationality Exponenthttps://purl.org/becyt/ford/1.2https://purl.org/becyt/ford/1We establish that there exist computable real numbers whose irrationality exponent is not computable.Fil: Becher, Veronica Andrea. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Bugeaud, Yann. Université de Strasbourg; FranciaFil: Slaman, Theodore A.. University of California at Berkeley; Estados UnidosAmerican Mathematical Society2016-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/59627Becher, Veronica Andrea; Bugeaud, Yann; Slaman, Theodore A.; The irrationality exponents of computable numbers; American Mathematical Society; Proceedings of the American Mathematical Society; 144; 4; 4-2016; 1509-15210002-9939CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1090/proc/12841info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2016-144-04/S0002-9939-2015-12841-9/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:10:57Zoai:ri.conicet.gov.ar:11336/59627instacron: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:34982025-09-03 10:10:58.167CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
The irrationality exponents of computable numbers |
title |
The irrationality exponents of computable numbers |
spellingShingle |
The irrationality exponents of computable numbers Becher, Veronica Andrea Cantor Set Computability Irrationality Exponent |
title_short |
The irrationality exponents of computable numbers |
title_full |
The irrationality exponents of computable numbers |
title_fullStr |
The irrationality exponents of computable numbers |
title_full_unstemmed |
The irrationality exponents of computable numbers |
title_sort |
The irrationality exponents of computable numbers |
dc.creator.none.fl_str_mv |
Becher, Veronica Andrea Bugeaud, Yann Slaman, Theodore A. |
author |
Becher, Veronica Andrea |
author_facet |
Becher, Veronica Andrea Bugeaud, Yann Slaman, Theodore A. |
author_role |
author |
author2 |
Bugeaud, Yann Slaman, Theodore A. |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Cantor Set Computability Irrationality Exponent |
topic |
Cantor Set Computability Irrationality Exponent |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.2 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
We establish that there exist computable real numbers whose irrationality exponent is not computable. Fil: Becher, Veronica Andrea. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Bugeaud, Yann. Université de Strasbourg; Francia Fil: Slaman, Theodore A.. University of California at Berkeley; Estados Unidos |
description |
We establish that there exist computable real numbers whose irrationality exponent is not computable. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-04 |
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/11336/59627 Becher, Veronica Andrea; Bugeaud, Yann; Slaman, Theodore A.; The irrationality exponents of computable numbers; American Mathematical Society; Proceedings of the American Mathematical Society; 144; 4; 4-2016; 1509-1521 0002-9939 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/59627 |
identifier_str_mv |
Becher, Veronica Andrea; Bugeaud, Yann; Slaman, Theodore A.; The irrationality exponents of computable numbers; American Mathematical Society; Proceedings of the American Mathematical Society; 144; 4; 4-2016; 1509-1521 0002-9939 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1090/proc/12841 info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2016-144-04/S0002-9939-2015-12841-9/ |
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 |
dc.publisher.none.fl_str_mv |
American Mathematical Society |
publisher.none.fl_str_mv |
American Mathematical Society |
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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1842270139408449536 |
score |
13.13397 |