DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, D | ko |
dc.contributor.author | Koo, JaKyung | ko |
dc.date.accessioned | 2013-03-06T11:45:59Z | - |
dc.date.available | 2013-03-06T11:45:59Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2007-01 | - |
dc.identifier.citation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.44, no.1, pp.55 - 107 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.uri | http://hdl.handle.net/10203/86883 | - |
dc.description.abstract | Let k be an imaginary quadratic field, h the complex upper half plane, and let tau is an element of h boolean AND k, q = e(pi i tau). In this article, we obtain algebraic numbers from the 130 identities of Rogers-Ramanujan continued fractions investigated in [28] and [29] by using Berndt's idea ([3]). Using this, we get special transcendental numbers. For example, q(1/8)/1 + -q/1+q + -q(2)/1+q(2) + center dot center dot center dot ([1]) is transcendental. | - |
dc.language | English | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.subject | RAMANUJAN CONTINUED-FRACTION | - |
dc.subject | EISENSTEIN SERIES | - |
dc.subject | TRANSCENDENCE | - |
dc.subject | NUMBERS | - |
dc.title | On the infinite products derived from theta series I | - |
dc.type | Article | - |
dc.identifier.wosid | 000243310300005 | - |
dc.identifier.scopusid | 2-s2.0-33846222801 | - |
dc.type.rims | ART | - |
dc.citation.volume | 44 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 55 | - |
dc.citation.endingpage | 107 | - |
dc.citation.publicationname | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.contributor.localauthor | Koo, JaKyung | - |
dc.contributor.nonIdAuthor | Kim, D | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | transcendental number | - |
dc.subject.keywordAuthor | algebraic number | - |
dc.subject.keywordAuthor | theta series | - |
dc.subject.keywordAuthor | Rogers-Ramanujan identities | - |
dc.subject.keywordPlus | RAMANUJAN CONTINUED-FRACTION | - |
dc.subject.keywordPlus | EISENSTEIN SERIES | - |
dc.subject.keywordPlus | TRANSCENDENCE | - |
dc.subject.keywordPlus | NUMBERS | - |
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