Singular values of some modular functions and their applications to class fields

Cited 4 time in webofscience Cited 0 time in scopus
  • Hit : 269
  • Download : 0
DC FieldValueLanguage
dc.contributor.authorHong, Kuk Jinko
dc.contributor.authorKoo, JaKyungko
dc.date.accessioned2013-03-06T16:29:57Z-
dc.date.available2013-03-06T16:29:57Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2008-08-
dc.identifier.citationRAMANUJAN JOURNAL, v.16, no.3, pp.321 - 337-
dc.identifier.issn1382-4090-
dc.identifier.urihttp://hdl.handle.net/10203/87594-
dc.description.abstractSince the modular curve X(5) = Gamma(5)\h* has genus zero, we have a field isomorphism K(X(5)) approximate to C(X(2)(z)) where X(2)(z) is a product of Klein forms. We apply it to construct explicit class fields over an imaginary quadratic field K from the modular function j(Delta,25)(z) := X(2)(5z). And, for every integer N >= 7 we further generate ray class fields K((N)) over K with modulus N just from the two generators X(2)(z) and X(3)(z) of the function field K(X(1)(N)), which are also the product of Klein forms without using torsion points of elliptic curves.-
dc.languageEnglish-
dc.publisherSPRINGER-
dc.titleSingular values of some modular functions and their applications to class fields-
dc.typeArticle-
dc.identifier.wosid000258243200006-
dc.identifier.scopusid2-s2.0-49249090223-
dc.type.rimsART-
dc.citation.volume16-
dc.citation.issue3-
dc.citation.beginningpage321-
dc.citation.endingpage337-
dc.citation.publicationnameRAMANUJAN JOURNAL-
dc.identifier.doi10.1007/s11139-007-9093-x-
dc.contributor.localauthorKoo, JaKyung-
dc.contributor.nonIdAuthorHong, Kuk Jin-
dc.type.journalArticleArticle-
dc.subject.keywordAuthormodular functions-
dc.subject.keywordAuthorclass fields-
dc.subject.keywordAuthorconductor-
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 4 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0