Generation of class fields by using the Weber function
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Koo, Ja-Kyung | ko |
| dc.contributor.author | Shin, Dong Hwa | ko |
| dc.contributor.author | Yoon, Dong Sung | ko |
| dc.date.accessioned | 2016-07-07T05:35:30Z | - |
| dc.date.available | 2016-07-07T05:35:30Z | - |
| dc.date.created | 2016-05-09 | - |
| dc.date.created | 2016-05-09 | - |
| dc.date.issued | 2016-10 | - |
| dc.identifier.citation | JOURNAL OF NUMBER THEORY, v.167, pp.74 - 87 | - |
| dc.identifier.issn | 0022-314X | - |
| dc.identifier.uri | http://hdl.handle.net/10203/209821 | - |
| dc.description.abstract | Let K be an imaginary quadratic field and O-K be its ring of integers. Let h(E) be the Weber function on a certain elliptic curve E with complex multiplication by O-K. We show that if N (> 1) is an integer prime to 6, then the function h(E) alone generates the ray class field modulo NOK over K when evaluated at some N-torsion point of E, which would be a partial answer to the question mentioned in [10, p. 105]. (C) 2016 Elsevier Inc. All rights reserved. | - |
| dc.language | English | - |
| dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
| dc.subject | COMPLEX MULTIPLICATION | - |
| dc.title | Generation of class fields by using the Weber function | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000377056400004 | - |
| dc.identifier.scopusid | 2-s2.0-84967018547 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 167 | - |
| dc.citation.beginningpage | 74 | - |
| dc.citation.endingpage | 87 | - |
| dc.citation.publicationname | JOURNAL OF NUMBER THEORY | - |
| dc.identifier.doi | 10.1016/j.jnt.2016.03.020 | - |
| 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 | Weber function | - |
| dc.subject.keywordPlus | COMPLEX MULTIPLICATION | - |
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