DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Koo, Ja-Kyung | - |
dc.contributor.advisor | 구자경 | - |
dc.contributor.author | Park, Chan-il | - |
dc.contributor.author | 박찬일 | - |
dc.date.accessioned | 2011-12-14T04:54:00Z | - |
dc.date.available | 2011-12-14T04:54:00Z | - |
dc.date.issued | 2001 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=169437&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42035 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 수학전공, 2001.2, [ 29 ; ] | - |
dc.description.abstract | In this thesis, I studied the correspondence between the L-function L(s, E) of an elliptic curve over Q and that of a cusp form of weight 2. Eichler and Shimura give a clue to the nature of the automorphic object to use. Their theory takes certain cusp form f in $S_2(Γ_0(N))$ and gives a geometric construction of elliptic curves over Q such that L(s,~E)=L(s,~f). In Chapter 1,2. I review the compact Riemann sufface $X_0(N)$, it``s canonical model over Q, abelian variety and Jacobian variety. In Chapter 3, I examine the abstract elliptic curves and in chapter 4, I present the Eichler-Shimura thoery and it``s proof. And chapter 5, I explain the Fermat``s Last Theorem as it``s application. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | Eichler Shimura thoery | - |
dc.subject | Fermat``s last theory | - |
dc.subject | 페르마의 마지막 정리 | - |
dc.subject | 아이클러 시무라 이론 | - |
dc.title | Some studies on eichler-shimura theory | - |
dc.title.alternative | Eichler-shimura 이론에 관한 연구 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 169437/325007 | - |
dc.description.department | 한국과학기술원 : 수학전공, | - |
dc.identifier.uid | 000993247 | - |
dc.contributor.localauthor | Koo, Ja-Kyung | - |
dc.contributor.localauthor | 구자경 | - |
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