DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, SY | ko |
dc.contributor.author | Koo, JaKyung | ko |
dc.date.accessioned | 2013-03-07T20:19:23Z | - |
dc.date.available | 2013-03-07T20:19:23Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2005-03 | - |
dc.identifier.citation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.42, no.2, pp.203 - 222 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.uri | http://hdl.handle.net/10203/91213 | - |
dc.description.abstract | Thompson series is a Hauptmodul for a genus zero group which lies between Gamma(0)(N) and its normalizer in PSL2(R) ([1]). We construct explicit ring class fields over an imaginary quadratic field K from the Thompson series T-g(alpha) (Theorem 4), which would be an extension of [3], Theorem 3.7.5 (2) by using the Shimura theory and the standard results of complex multiplication. Also we construct various class fields over K, over a CM-field K(zeta(N) + zeta(N)(-1)), and over a field K(zeta N). Furthermore, we find an explicit formula for the conjugates of T-g (alpha) to calculate its minimal polynomial where alpha(is an element of h) is the quotient of a basis of an integral ideal in K. | - |
dc.language | English | - |
dc.publisher | KOREAN MATHEMATICAL SOCIETY | - |
dc.title | Class fields from the fundamental Thompson series of level N = o(g) | - |
dc.type | Article | - |
dc.identifier.wosid | 000227625400002 | - |
dc.identifier.scopusid | 2-s2.0-20744456117 | - |
dc.type.rims | ART | - |
dc.citation.volume | 42 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 203 | - |
dc.citation.endingpage | 222 | - |
dc.citation.publicationname | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.contributor.localauthor | Koo, JaKyung | - |
dc.contributor.nonIdAuthor | Choi, SY | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | modular functions | - |
dc.subject.keywordAuthor | Thompson series | - |
dc.subject.keywordAuthor | class fields | - |
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