DC Field | Value | Language |
---|---|---|
dc.contributor.author | Koo, Ja Kyung | ko |
dc.contributor.author | Shin, Dong Hwa | ko |
dc.date.accessioned | 2013-03-12T20:21:21Z | - |
dc.date.available | 2013-03-12T20:21:21Z | - |
dc.date.created | 2013-01-23 | - |
dc.date.created | 2013-01-23 | - |
dc.date.issued | 2013-02 | - |
dc.identifier.citation | JOURNAL OF NUMBER THEORY, v.133, no.2, pp.475 - 483 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | http://hdl.handle.net/10203/103415 | - |
dc.description.abstract | Let g be a principal modulus with rational Fourier coefficients for a discrete subgroup of SL2(R) lying in between Gamma(N) and Gamma(0)(N)(dagger) for a positive integer N. Let K be an imaginary quadratic field. We introduce a relatively simple proof, without using Shimura's canonical model, of the fact that the singular value of g generates the ray class field modulo N or the ring class field of the order of conductor N over K. Further, we construct a primitive generator of the ray class field K-c of arbitrary modulus c over K from Hasse's two generators. (C) 2012 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | CLASS FIELDS | - |
dc.title | Singular values of principal moduli | - |
dc.type | Article | - |
dc.identifier.wosid | 000311769200008 | - |
dc.identifier.scopusid | 2-s2.0-84867674847 | - |
dc.type.rims | ART | - |
dc.citation.volume | 133 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 475 | - |
dc.citation.endingpage | 483 | - |
dc.citation.publicationname | JOURNAL OF NUMBER THEORY | - |
dc.identifier.doi | 10.1016/j.jnt.2012.08.006 | - |
dc.contributor.localauthor | Koo, Ja Kyung | - |
dc.contributor.nonIdAuthor | Shin, Dong Hwa | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Class field theory | - |
dc.subject.keywordAuthor | Complex multiplication | - |
dc.subject.keywordAuthor | Modular and automorphic functions | - |
dc.subject.keywordPlus | CLASS FIELDS | - |
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