DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Bumkyu | ko |
dc.contributor.author | Koo, JaKyung | ko |
dc.contributor.author | Park, Yoon Kyung | ko |
dc.date.accessioned | 2013-03-11T09:50:11Z | - |
dc.date.available | 2013-03-11T09:50:11Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2009-04 | - |
dc.identifier.citation | JOURNAL OF NUMBER THEORY, v.129, no.4, pp.922 - 947 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | http://hdl.handle.net/10203/98955 | - |
dc.description.abstract | Text. We extend the results of Chan and Huang [H.H. Chan, S.-S. Huang, On the Ramanujan-Gollnitz-Gordon continued fraction, Ramanujan J. 1 (1997) 75-90] and Vasuki, Srivatsa Kumar [K.R. Vasuki, B.R. Srivatsa Kumar, Certain identities for Ramanujan-Gollnitz-Gordon continued fraction, J. Comput. Appl. Math. 187 (2006) 87-95] to all odd primes p on the modular equations of the Ramanujan-Gollnitz-Gord on continued fraction v(tau) by computing the affine models of modular curves X(Gamma) with Gamma = Gamma(1)(8) boolean AND Gamma(0)(16p). We then deduce the Kronecker congruence relations for these modular equations. Further, by showing that v(tau) is a modular unit over Z we give a new proof of the fact that the singular values of v(tau) are units at all imaginary quadratic arguments and obtain that they generate ray class fields modulo 8 over imaginary quadratic fields. Video. For a video summary of this paper, please visit http://www.youtube.com/watch?v=FWdmYvdf5Jg. (C) 2008 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Arithmetic of the Ramanujan-Gollnitz-Gordon continued fraction | - |
dc.type | Article | - |
dc.identifier.wosid | 000264506200012 | - |
dc.identifier.scopusid | 2-s2.0-60649090795 | - |
dc.type.rims | ART | - |
dc.citation.volume | 129 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 922 | - |
dc.citation.endingpage | 947 | - |
dc.citation.publicationname | JOURNAL OF NUMBER THEORY | - |
dc.identifier.doi | 10.1016/j.jnt.2008.09.018 | - |
dc.contributor.localauthor | Koo, JaKyung | - |
dc.type.journalArticle | Article | - |
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