Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.contributor.author | 박윤경 | * |
dc.date.accessioned | 2017-11-01T05:01:50Z | - |
dc.date.available | 2017-11-01T05:01:50Z | - |
dc.date.issued | 2017 | * |
dc.identifier.issn | 0022-247X | * |
dc.identifier.other | OAK-21053 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/239035 | - |
dc.description.abstract | The modular function h(τ)=q∏n=1∞[Formula presented] is called a level 16 analogue of Ramanujan's series for 1/π. We prove that h(τ) generates the field of modular functions on Γ0(16) and find its modular equation of level n for any positive integer n. Furthermore, we construct the ray class field K(h(τ)) modulo 4 over an imaginary quadratic field K for τ∈K∩H such that Z[4τ] is the integral closure of Z in K, where H is the complex upper half plane. For any τ∈K∩H, it turns out that the value 1/h(τ) is integral, and we can also explicitly evaluate the values of h(τ) if the discriminant of K is divisible by 4. © 2017 Elsevier Inc. | * |
dc.language | English | * |
dc.publisher | Academic Press Inc. | * |
dc.subject | Modular equation | * |
dc.subject | Modular function | * |
dc.subject | Ramanujan's series for 1/π | * |
dc.subject | Ray class field | * |
dc.title | A level 16 analogue of Ramanujan series for 1/π | * |
dc.type | Article | * |
dc.relation.issue | 1 | * |
dc.relation.volume | 456 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 177 | * |
dc.relation.lastpage | 194 | * |
dc.relation.journaltitle | Journal of Mathematical Analysis and Applications | * |
dc.identifier.doi | 10.1016/j.jmaa.2017.06.082 | * |
dc.identifier.wosid | WOS:000407667900010 | * |
dc.identifier.scopusid | 2-s2.0-85023623442 | * |
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 | * |