RAY CLASS INVARIANTS OVER IMAGINARY QUADRATIC FIELDS

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dc.contributor.authorJung, Ho-Yunko
dc.contributor.authorKoo, Ja-Kyungko
dc.contributor.authorShin, Dong-Hwako
dc.date.accessioned2013-03-09T10:01:42Z-
dc.date.available2013-03-09T10:01:42Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2011-09-
dc.identifier.citationTOHOKU MATHEMATICAL JOURNAL, v.63, no.3, pp.413 - 426-
dc.identifier.issn0040-8735-
dc.identifier.urihttp://hdl.handle.net/10203/96045-
dc.description.abstractLet K be an imaginary quadratic field of discriminant less than or equal to -7 and K((N)) be its ray class field modulo N for an integer N greater than 1. We prove that the singular values of certain Siegel functions generate K((N)) over K by extending the idea of our previous work. These generators are not only the simplest ones conjectured by Schertz, but also quite useful in the matter of computation of class polynomials. We indeed give an algorithm to find all conjugates of such generators by virtue of the works of Gee and Stevenhagen.-
dc.languageEnglish-
dc.publisherTOHOKU UNIVERSITY-
dc.titleRAY CLASS INVARIANTS OVER IMAGINARY QUADRATIC FIELDS-
dc.typeArticle-
dc.identifier.wosid000297193800005-
dc.identifier.scopusid2-s2.0-84858864701-
dc.type.rimsART-
dc.citation.volume63-
dc.citation.issue3-
dc.citation.beginningpage413-
dc.citation.endingpage426-
dc.citation.publicationnameTOHOKU MATHEMATICAL JOURNAL-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorKoo, Ja-Kyung-
dc.contributor.nonIdAuthorShin, Dong-Hwa-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorElliptic units-
dc.subject.keywordAuthorclass field theory-
dc.subject.keywordAuthorcomplex multiplication-
dc.subject.keywordAuthormodular forms-
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