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
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/59627
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/59627
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling 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 Técnicas2025-09-29T10:44:22Zoai: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:34982025-09-29 10:44:22.632CONICET 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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score 13.070432

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