DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Koo, Ja-Kyung | - |
dc.contributor.advisor | 구자경 | - |
dc.contributor.author | Hong, Kuk-Jin | - |
dc.contributor.author | 홍국진 | - |
dc.date.accessioned | 2011-12-14T05:00:14Z | - |
dc.date.available | 2011-12-14T05:00:14Z | - |
dc.date.issued | 1996 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=105901&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42436 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 수학과, 1996.2, [ i, 43 p. ] | - |
dc.description.abstract | In this paper, three subjects are discussed in four chapters; they are modular forms Hecke operators and arithmetic of elliptic curves. In chapter 1, it is proved that some object manipulated from Eisenstein series $G_{2}$(z) of weight 2, which has analytically bad properties, belongs to $M_{2}(\Gamma_{0}(p))$ for any prime p. In chapter 2, it is proved that the quotient of Dedekind eta function $(\frac{\eta^{p}(z)}{\eta(pz)})^{2}$ belongs to $M_{p-1}(\Gamma_{0}(p))$ for odd prime p by making use of some object manipulated from level N Eisenstein series of weight 2. In chapter 3, we provide a general thoery of Hecke operators on $\Gamma^0(N)$. In chapter 4, it is proved that 8 is not a congruent number by making use of the arithmetic of elliptic curves. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | Hecke Operator | - |
dc.subject | Modular Form | - |
dc.subject | Elliptic Curves | - |
dc.subject | 타원곡선 | - |
dc.subject | 헥케작용소 | - |
dc.subject | 모듈러형식 | - |
dc.title | Some studies on modular forms and elliptic curves | - |
dc.title.alternative | 모듈러 형식과 타원곡선의 고찰 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 105901/325007 | - |
dc.description.department | 한국과학기술원 : 수학과, | - |
dc.identifier.uid | 000943582 | - |
dc.contributor.localauthor | Koo, Ja-Kyung | - |
dc.contributor.localauthor | 구자경 | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.