THE DISCRIMINANT OF ABELIAN NUMBER FIELDS

Detalhes bibliográficos
Autor(a) principal: Interlando, J. Carmelo
Data de Publicação: 2006
Outros Autores: Dantas Lopes, Jose Othon, Da Nobrega Neto, Trajano Pires [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1142/S0219498806001636
http://hdl.handle.net/11449/195816
Resumo: A formula for computing the discriminant of any Abelian number field K is given. It is presented as a function of the conductor m of K and of the degrees of the fields K boolean AND Q(zeta(p)alpha) over Q, where p runs through the set of primes that divide m, and p(alpha) is the greatest power of p that divides m.
id UNSP_bf84fd0233bc8bf2afbd0d5c26170e9e
oai_identifier_str oai:repositorio.unesp.br:11449/195816
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling THE DISCRIMINANT OF ABELIAN NUMBER FIELDSCharactersconductorscyclotomic fieldsdiscriminants of Abelian number fieldsHasse TheoremA formula for computing the discriminant of any Abelian number field K is given. It is presented as a function of the conductor m of K and of the degrees of the fields K boolean AND Q(zeta(p)alpha) over Q, where p runs through the set of primes that divide m, and p(alpha) is the greatest power of p that divides m.San Diego State Univ, Dept Math & Stat, 5500 Campanile Dr, San Diego, CA 92182 USAUniv Fed Ceara, Dept Matemat, Fortaleza, Ceara, BrazilUniv Estadual Paulista, Dept Matemat, Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, Dept Matemat, Sao Jose Do Rio Preto, SP, BrazilWorld Scientific Publ Co Pte LtdSan Diego State UnivUniv Fed CearaUniversidade Estadual Paulista (Unesp)Interlando, J. CarmeloDantas Lopes, Jose OthonDa Nobrega Neto, Trajano Pires [UNESP]2020-12-10T18:04:22Z2020-12-10T18:04:22Z2006-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article35-41http://dx.doi.org/10.1142/S0219498806001636Journal Of Algebra And Its Applications. Singapore: World Scientific Publ Co Pte Ltd, v. 5, n. 1, p. 35-41, 2006.0219-4988http://hdl.handle.net/11449/19581610.1142/S0219498806001636WOS:000209821300003Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of Algebra And Its Applicationsinfo:eu-repo/semantics/openAccess2021-10-23T11:55:32Zoai:repositorio.unesp.br:11449/195816Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T11:55:32Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv THE DISCRIMINANT OF ABELIAN NUMBER FIELDS
title THE DISCRIMINANT OF ABELIAN NUMBER FIELDS
spellingShingle THE DISCRIMINANT OF ABELIAN NUMBER FIELDS
Interlando, J. Carmelo
Characters
conductors
cyclotomic fields
discriminants of Abelian number fields
Hasse Theorem
title_short THE DISCRIMINANT OF ABELIAN NUMBER FIELDS
title_full THE DISCRIMINANT OF ABELIAN NUMBER FIELDS
title_fullStr THE DISCRIMINANT OF ABELIAN NUMBER FIELDS
title_full_unstemmed THE DISCRIMINANT OF ABELIAN NUMBER FIELDS
title_sort THE DISCRIMINANT OF ABELIAN NUMBER FIELDS
author Interlando, J. Carmelo
author_facet Interlando, J. Carmelo
Dantas Lopes, Jose Othon
Da Nobrega Neto, Trajano Pires [UNESP]
author_role author
author2 Dantas Lopes, Jose Othon
Da Nobrega Neto, Trajano Pires [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv San Diego State Univ
Univ Fed Ceara
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Interlando, J. Carmelo
Dantas Lopes, Jose Othon
Da Nobrega Neto, Trajano Pires [UNESP]
dc.subject.por.fl_str_mv Characters
conductors
cyclotomic fields
discriminants of Abelian number fields
Hasse Theorem
topic Characters
conductors
cyclotomic fields
discriminants of Abelian number fields
Hasse Theorem
description A formula for computing the discriminant of any Abelian number field K is given. It is presented as a function of the conductor m of K and of the degrees of the fields K boolean AND Q(zeta(p)alpha) over Q, where p runs through the set of primes that divide m, and p(alpha) is the greatest power of p that divides m.
publishDate 2006
dc.date.none.fl_str_mv 2006-02-01
2020-12-10T18:04:22Z
2020-12-10T18:04:22Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1142/S0219498806001636
Journal Of Algebra And Its Applications. Singapore: World Scientific Publ Co Pte Ltd, v. 5, n. 1, p. 35-41, 2006.
0219-4988
http://hdl.handle.net/11449/195816
10.1142/S0219498806001636
WOS:000209821300003
url http://dx.doi.org/10.1142/S0219498806001636
http://hdl.handle.net/11449/195816
identifier_str_mv Journal Of Algebra And Its Applications. Singapore: World Scientific Publ Co Pte Ltd, v. 5, n. 1, p. 35-41, 2006.
0219-4988
10.1142/S0219498806001636
WOS:000209821300003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal Of Algebra And Its Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 35-41
dc.publisher.none.fl_str_mv World Scientific Publ Co Pte Ltd
publisher.none.fl_str_mv World Scientific Publ Co Pte Ltd
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799965529769771008

Registros relacionados