Class number formulae in the form of a product of determinants in function fields

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dc.contributor.authorAhn, JHko
dc.contributor.authorChoi, Sko
dc.contributor.authorJung, Hko
dc.date.accessioned2013-03-06T10:19:56Z-
dc.date.available2013-03-06T10:19:56Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2005-04-
dc.identifier.citationJOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v.78, no.2, pp.227 - 238-
dc.identifier.issn1446-7887-
dc.identifier.urihttp://hdl.handle.net/10203/86669-
dc.description.abstractIn this paper, we generalize the Koera's group-determinant formulae to obtain the real and relative class number formulae of any subfield of cyclotomic function fields with arbitrary conductor in the form of a product of determinants. From these formulae, we generalize the relative class number formula of Rosen and Bae-Kang and obtain analogous results of Tsumura and Hirabayashi for an inter-mediate field in the tower of cyclotomic function fields with prime power conductor.-
dc.languageEnglish-
dc.publisherAUSTRALIAN MATHEMATICS PUBL ASSOC INC-
dc.titleClass number formulae in the form of a product of determinants in function fields-
dc.typeArticle-
dc.identifier.wosid000229091800006-
dc.identifier.scopusid2-s2.0-18944392824-
dc.type.rimsART-
dc.citation.volume78-
dc.citation.issue2-
dc.citation.beginningpage227-
dc.citation.endingpage238-
dc.citation.publicationnameJOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY-
dc.contributor.localauthorAhn, JH-
dc.contributor.nonIdAuthorChoi, S-
dc.contributor.nonIdAuthorJung, H-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorcyclotomic function fields-
dc.subject.keywordAuthorclass number-
dc.subject.keywordPlusRELATIVE CLASS NUMBER-
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