Primitive and totally primitive Fricke families with applications (II)

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dc.contributor.authorJung, Ho Yunko
dc.contributor.authorKoo, Ja-Kyungko
dc.contributor.authorShin, Dong Hwako
dc.date.accessioned2019-01-22T08:29:17Z-
dc.date.available2019-01-22T08:29:17Z-
dc.date.created2018-10-25-
dc.date.created2018-10-25-
dc.date.issued2019-04-
dc.identifier.citationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.472, no.1, pp.432 - 446-
dc.identifier.issn0022-247X-
dc.identifier.urihttp://hdl.handle.net/10203/248967-
dc.description.abstractWe find necessary and sufficient conditions for a Fricke family of level N (≥2) to be primitive or totally primitive. Let K be an imaginary quadratic field of discriminant other than and . As applications of Fricke families, we show that if is sufficiently large, then the special values of a primitive Fricke family generate the ray class field modulo N over K. Moreover, we construct a primitive generator of over K in terms of the special values of classical Fricke functions for every K which would be a partial answer to a question of Hasse and Ramachandra.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titlePrimitive and totally primitive Fricke families with applications (II)-
dc.typeArticle-
dc.identifier.wosid000456896000026-
dc.identifier.scopusid2-s2.0-85056657138-
dc.type.rimsART-
dc.citation.volume472-
dc.citation.issue1-
dc.citation.beginningpage432-
dc.citation.endingpage446-
dc.citation.publicationnameJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS-
dc.identifier.doi10.1016/j.jmaa.2018.11.033-
dc.contributor.localauthorKoo, Ja-Kyung-
dc.contributor.nonIdAuthorJung, Ho Yun-
dc.contributor.nonIdAuthorShin, Dong Hwa-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
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