DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hong, Kuk Jin | ko |
dc.contributor.author | Koo, JaKyung | ko |
dc.date.accessioned | 2013-03-06T16:29:57Z | - |
dc.date.available | 2013-03-06T16:29:57Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2008-08 | - |
dc.identifier.citation | RAMANUJAN JOURNAL, v.16, no.3, pp.321 - 337 | - |
dc.identifier.issn | 1382-4090 | - |
dc.identifier.uri | http://hdl.handle.net/10203/87594 | - |
dc.description.abstract | Since the modular curve X(5) = Gamma(5)\h* has genus zero, we have a field isomorphism K(X(5)) approximate to C(X(2)(z)) where X(2)(z) is a product of Klein forms. We apply it to construct explicit class fields over an imaginary quadratic field K from the modular function j(Delta,25)(z) := X(2)(5z). And, for every integer N >= 7 we further generate ray class fields K((N)) over K with modulus N just from the two generators X(2)(z) and X(3)(z) of the function field K(X(1)(N)), which are also the product of Klein forms without using torsion points of elliptic curves. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.title | Singular values of some modular functions and their applications to class fields | - |
dc.type | Article | - |
dc.identifier.wosid | 000258243200006 | - |
dc.identifier.scopusid | 2-s2.0-49249090223 | - |
dc.type.rims | ART | - |
dc.citation.volume | 16 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 321 | - |
dc.citation.endingpage | 337 | - |
dc.citation.publicationname | RAMANUJAN JOURNAL | - |
dc.identifier.doi | 10.1007/s11139-007-9093-x | - |
dc.contributor.localauthor | Koo, JaKyung | - |
dc.contributor.nonIdAuthor | Hong, Kuk Jin | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | modular functions | - |
dc.subject.keywordAuthor | class fields | - |
dc.subject.keywordAuthor | conductor | - |
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