DC Field | Value | Language |
---|---|---|
dc.contributor.author | Koo, Ja-Kyung | ko |
dc.contributor.author | Yoon, Dong Sung | ko |
dc.date.accessioned | 2016-12-01T07:05:27Z | - |
dc.date.available | 2016-12-01T07:05:27Z | - |
dc.date.created | 2015-11-20 | - |
dc.date.created | 2015-11-20 | - |
dc.date.issued | 2016-12 | - |
dc.identifier.citation | KYOTO JOURNAL OF MATHEMATICS, v.56, no.4, pp.803 - 829 | - |
dc.identifier.issn | 2156-2261 | - |
dc.identifier.uri | http://hdl.handle.net/10203/214578 | - |
dc.description.abstract | Let l and p be odd primes. For a positive integer mu, let k(mu), be the ray class field of k = Q(e(2 pi i/l)) modulo 2p(mu). We present certain class fields K-mu, of k such that k(mu) subset of K mu subset of k(mu+1), and we provide a necessary and sufficient condition for K-mu = k(mu+1). We also construct, in the sense of Hilbert, primitive generators of the field K-mu over k(mu) by using Shimura's reciprocity law and special values of theta constants. | - |
dc.language | English | - |
dc.publisher | DUKE UNIV PRESS | - |
dc.subject | COMPLEX MULTIPLICATION | - |
dc.subject | EXTENSIONS | - |
dc.subject | VALUES | - |
dc.title | Construction of class fields over cyclotomic fields | - |
dc.type | Article | - |
dc.identifier.wosid | 000387530700005 | - |
dc.identifier.scopusid | 2-s2.0-84995555397 | - |
dc.type.rims | ART | - |
dc.citation.volume | 56 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 803 | - |
dc.citation.endingpage | 829 | - |
dc.citation.publicationname | KYOTO JOURNAL OF MATHEMATICS | - |
dc.identifier.doi | 10.1215/21562261-3664923 | - |
dc.contributor.localauthor | Koo, Ja-Kyung | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | COMPLEX MULTIPLICATION | - |
dc.subject.keywordPlus | EXTENSIONS | - |
dc.subject.keywordPlus | SERIES | - |
dc.subject.keywordPlus | VALUES | - |
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