Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.contributor.author | 박윤경 | * |
dc.date.accessioned | 2018-11-21T16:30:40Z | - |
dc.date.available | 2018-11-21T16:30:40Z | - |
dc.date.issued | 2018 | * |
dc.identifier.issn | 0022-314X | * |
dc.identifier.other | OAK-22208 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/246820 | - |
dc.description.abstract | We study three Ramanujan continued fractions c(τ),W(τ) and T(τ). In fact, c(τ) and W(τ) are modular functions of level 16, and T(τ) is a modular function of level 32. We first prove that the values of c(τ) and W(τ) can generate the ray class field modulo 4 over an imaginary quadratic field K. We also prove that 2/(1−c(τ)),1/W(τ),T(τ)+1/T(τ) are algebraic integers for any imaginary quadratic quantity τ. Furthermore, we find the modular equations of c(τ),T(τ) and W(τ) for any level, and we show that c(τ) and W(τ) satisfy the Kronecker's congruence. We can express the value c(rτ) (respectively, T(rτ),W(rτ)) in terms of radicals for any positive rational number r when the value c(τ) (respectively, T(τ),W(τ)) can be written as radicals. © 2018 Elsevier Inc. | * |
dc.language | English | * |
dc.publisher | Academic Press Inc. | * |
dc.subject | Class field theory | * |
dc.subject | Modular function | * |
dc.subject | Ramanujan continued fraction | * |
dc.title | Three Ramanujan continued fractions with modularity | * |
dc.type | Article | * |
dc.relation.volume | 188 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 299 | * |
dc.relation.lastpage | 323 | * |
dc.relation.journaltitle | Journal of Number Theory | * |
dc.identifier.doi | 10.1016/j.jnt.2018.01.012 | * |
dc.identifier.wosid | WOS:000429632100017 | * |
dc.identifier.scopusid | 2-s2.0-85042850623 | * |
dc.author.google | Lee Y. | * |
dc.author.google | Park Y.K. | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.contributor.scopusid | 박윤경(55494371400) | * |
dc.date.modifydate | 20240123113558 | * |