DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jung, Ho Yun | ko |
dc.contributor.author | Koo, JaKyung | ko |
dc.contributor.author | Shin, Dong Hwa | ko |
dc.date.accessioned | 2014-08-28 | - |
dc.date.available | 2014-08-28 | - |
dc.date.created | 2013-07-22 | - |
dc.date.created | 2013-07-22 | - |
dc.date.issued | 2014-01 | - |
dc.identifier.citation | FORUM MATHEMATICUM, v.26, no.1, pp.25 - 57 | - |
dc.identifier.issn | 0933-7741 | - |
dc.identifier.uri | http://hdl.handle.net/10203/187426 | - |
dc.description.abstract | Let K be an imaginary quadratic field of discriminant d(K) <= -7. We deal with problems of constructing normal bases between abelian extensions of K by making use of singular values of Siegel functions. First, we find normal bases of ring class fields of orders of bounded conductors depending on d(K) over K by using a criterion deduced from the Frobenius determinant relation. Next, denoting by K-(N) the ray class field modulo N of K for an integer N >= 2 we consider the field extension K-(p(m))2/K-(pm) for a prime p >= 5 and a positive integer m relatively prime to p and then find normal bases of all intermediate fields over K-(pm) by utilizing Kawamoto's arguments. We further investigate certain Galois module structure of the field extension K-(p(m))n/K-(p(m))l with n >= 2l, which would be an extension of Komatsu's work. | - |
dc.language | English | - |
dc.publisher | WALTER DE GRUYTER GMBH | - |
dc.subject | GALOIS MODULE STRUCTURE | - |
dc.subject | ELLIPTIC FUNCTIONS | - |
dc.subject | NORMAL BASES | - |
dc.subject | CLASS FIELDS | - |
dc.subject | NUMBER-FIELDS | - |
dc.subject | CONJECTURE | - |
dc.subject | INVARIANTS | - |
dc.title | On some arithmetic properties of Siegel functions (II) | - |
dc.type | Article | - |
dc.identifier.wosid | 000329207000002 | - |
dc.identifier.scopusid | 2-s2.0-84925444785 | - |
dc.type.rims | ART | - |
dc.citation.volume | 26 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 25 | - |
dc.citation.endingpage | 57 | - |
dc.citation.publicationname | FORUM MATHEMATICUM | - |
dc.identifier.doi | 10.1515/FORM.2011.148 | - |
dc.contributor.localauthor | Koo, JaKyung | - |
dc.contributor.nonIdAuthor | Jung, Ho Yun | - |
dc.contributor.nonIdAuthor | Shin, Dong Hwa | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Class fields | - |
dc.subject.keywordAuthor | modular forms and functions | - |
dc.subject.keywordAuthor | normal bases | - |
dc.subject.keywordAuthor | normal p-integral bases | - |
dc.subject.keywordAuthor | Siegel functions | - |
dc.subject.keywordPlus | GALOIS MODULE STRUCTURE | - |
dc.subject.keywordPlus | ELLIPTIC FUNCTIONS | - |
dc.subject.keywordPlus | NORMAL BASES | - |
dc.subject.keywordPlus | CLASS FIELDS | - |
dc.subject.keywordPlus | NUMBER-FIELDS | - |
dc.subject.keywordPlus | CONJECTURE | - |
dc.subject.keywordPlus | INVARIANTS | - |
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