DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Bumkyu | ko |
dc.contributor.author | Kim, Nam Min | ko |
dc.contributor.author | Koo, JaKyung | ko |
dc.date.accessioned | 2013-03-09T03:06:50Z | - |
dc.date.available | 2013-03-09T03:06:50Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2011-02 | - |
dc.identifier.citation | RAMANUJAN JOURNAL, v.24, no.2, pp.235 - 257 | - |
dc.identifier.issn | 1382-4090 | - |
dc.identifier.uri | http://hdl.handle.net/10203/95208 | - |
dc.description.abstract | Farkas, Kra and Kopeliovich (Commun. Anal. Geom. 4(2):207-259, 1996) showed that the quotients F(1) and F(2) of modified theta functions generate the function field K(X(p)) of the modular curve X(p) for a principal congruence subgroup Gamma(p) with prime p >= 7. For such primes p we first find affine models of X(p) over Q represented by Phi(p) (X,Y) = 0, from which we are able to obtain the algebraic relations Psi(p) (X,Y) = 0 of F(1) and F(2) presented by Farkas et al. As its application we construct the ray class field K((p)) modulo p over an imaginary quadratic field K and then explicitly calculate its class polynomial by using the Shimura reciprocity law. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.subject | CLASS FIELDS | - |
dc.title | Affine models of the modular curves X(p) and its application | - |
dc.type | Article | - |
dc.identifier.wosid | 000286599800007 | - |
dc.identifier.scopusid | 2-s2.0-79151481226 | - |
dc.type.rims | ART | - |
dc.citation.volume | 24 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 235 | - |
dc.citation.endingpage | 257 | - |
dc.citation.publicationname | RAMANUJAN JOURNAL | - |
dc.identifier.doi | 10.1007/s11139-010-9240-7 | - |
dc.contributor.localauthor | Koo, JaKyung | - |
dc.contributor.nonIdAuthor | Cho, Bumkyu | - |
dc.contributor.nonIdAuthor | Kim, Nam Min | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Modular function | - |
dc.subject.keywordAuthor | Ray class field | - |
dc.subject.keywordPlus | CLASS FIELDS | - |
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