DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jung, Ho Yun | ko |
dc.contributor.author | Koo, Ja Kyung | ko |
dc.contributor.author | Shin, Dong Hwa | ko |
dc.date.accessioned | 2021-03-04T01:10:05Z | - |
dc.date.available | 2021-03-04T01:10:05Z | - |
dc.date.created | 2021-03-02 | - |
dc.date.created | 2021-03-02 | - |
dc.date.created | 2021-03-02 | - |
dc.date.issued | 2020-12 | - |
dc.identifier.citation | OPEN MATHEMATICS, v.18, pp.1915 - 1934 | - |
dc.identifier.issn | 2391-5455 | - |
dc.identifier.uri | http://hdl.handle.net/10203/281165 | - |
dc.description.abstract | Let K be an imaginary quadratic field of discriminant d(K) with ring of integers O-K, and let tau(K) be an element of the complex upper half plane so that O-K = [tau(K), 1]. For a positive integer N, let Q(N)(d(K)) be the set of primitive positive definite binary quadratic forms of discriminant d(K) with leading coefficients relatively prime to N. Then, with any congruence subgroup G of SL2(Z) one can define an equivalence relation (similar to)(Gamma) on Q(N)(d(K)). Let F-Gamma,F-Q denote the field of meromorphic modular functions for G with rational Fourier coefficients. We show that the set of equivalence classes Q(N)(d(K))/(similar to)(Gamma) can be equipped with a group structure isomorphic to Gal(KF Gamma,Q (tau(K))/K) for some Gamma, which generalizes the classical theory of form class groups. | - |
dc.language | English | - |
dc.publisher | DE GRUYTER POLAND SP Z O O | - |
dc.title | On some extensions of Gauss' work and applications | - |
dc.type | Article | - |
dc.identifier.wosid | 000616332600001 | - |
dc.type.rims | ART | - |
dc.citation.volume | 18 | - |
dc.citation.beginningpage | 1915 | - |
dc.citation.endingpage | 1934 | - |
dc.citation.publicationname | OPEN MATHEMATICS | - |
dc.identifier.doi | 10.1515/math-2020-0126 | - |
dc.contributor.localauthor | Koo, Ja Kyung | - |
dc.contributor.nonIdAuthor | Jung, Ho Yun | - |
dc.contributor.nonIdAuthor | Shin, Dong Hwa | - |
dc.description.isOpenAccess | Y | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | binary quadratic forms | - |
dc.subject.keywordAuthor | class field theory | - |
dc.subject.keywordAuthor | complex multiplication | - |
dc.subject.keywordAuthor | modular functions | - |
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