The class number one problem for some non-normal CM-fields of degree 2p
DC Field | Value | Language |
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dc.contributor.author | Ahn, Jeoung-Hwan | - |
dc.contributor.author | Boutteaux, Gerard | - |
dc.contributor.author | Kwon, Soun-Hi | - |
dc.contributor.author | Louboutin, Stephane | - |
dc.date.accessioned | 2021-09-06T17:15:34Z | - |
dc.date.available | 2021-09-06T17:15:34Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2012-08 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/107812 | - |
dc.description.abstract | To date, the class number one problem for non-normal CM-fields is solved only for quartic CM-fields. Here, we solve it for a family of non-normal CM-fields of degree 2p, p >= 3 and odd prime. We determine all the non-isomorphic non-normal CM-fields of degree 2p, containing a real cyclic field of degree p, and of class number one. Here, p >= 3 ranges over the odd primes. There are 24 such non-isomorphic number fields: 19 of them are of degree 6 and 5 of them are of degree 10. We also construct 19 non-isomorphic non-normal CM-fields of degree 12 and of class number one, and 10 non-isomorphic non-normal CM-fields of degree 20 and of class number one. (C) 2012 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | RELATIVE CLASS-NUMBERS | - |
dc.subject | ZETA-FUNCTIONS | - |
dc.subject | BOUNDS | - |
dc.subject | RESIDUES | - |
dc.title | The class number one problem for some non-normal CM-fields of degree 2p | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Ahn, Jeoung-Hwan | - |
dc.contributor.affiliatedAuthor | Kwon, Soun-Hi | - |
dc.identifier.doi | 10.1016/j.jnt.2012.02.020 | - |
dc.identifier.scopusid | 2-s2.0-84860317068 | - |
dc.identifier.wosid | 000303966000013 | - |
dc.identifier.bibliographicCitation | JOURNAL OF NUMBER THEORY, v.132, no.8, pp.1793 - 1806 | - |
dc.relation.isPartOf | JOURNAL OF NUMBER THEORY | - |
dc.citation.title | JOURNAL OF NUMBER THEORY | - |
dc.citation.volume | 132 | - |
dc.citation.number | 8 | - |
dc.citation.startPage | 1793 | - |
dc.citation.endPage | 1806 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | RELATIVE CLASS-NUMBERS | - |
dc.subject.keywordPlus | ZETA-FUNCTIONS | - |
dc.subject.keywordPlus | BOUNDS | - |
dc.subject.keywordPlus | RESIDUES | - |
dc.subject.keywordAuthor | CM-field | - |
dc.subject.keywordAuthor | Class number | - |
dc.subject.keywordAuthor | Dedekind zeta function | - |
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