完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | 黃彥璋 | en_US |
dc.contributor.author | Huang, Yan-Jhang | en_US |
dc.contributor.author | 楊一帆 | en_US |
dc.contributor.author | Yang, Yi-Fan | en_US |
dc.date.accessioned | 2014-12-12T01:40:29Z | - |
dc.date.available | 2014-12-12T01:40:29Z | - |
dc.date.issued | 2009 | en_US |
dc.identifier.uri | http://140.113.39.130/cdrfb3/record/nctu/#GT079722515 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/45069 | - |
dc.description.abstract | 我們想要探討的問題,是如何去尋找一個簡單的方法來討論一個特別的函數x4-2在模掉一個質數p之後解的個數。這是一個跟Hecke L-函數、伽羅瓦群、群的表現有關的應用問題。 更進一步來說,我們可利用這個多項式解空間的伽羅瓦表現來找出一個weight為12,level為256的cusp form。 | zh_TW |
dc.description.abstract | The problem we want to discuss in this thesis is trying to find a simple description “How the polynomial splits modulo a prime p for a special polynomial x4-2.” This is an application of Hecke L-function, the Galois theorem and the group representation. We will try to connect them by some well-known knowledge, and use them to solve the problem in our discussion. Moreover, we will use the Galois representation of the splitting filed of the polynomial x4-2 to construct a cusp form of weight 1 with level 256. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | 伽羅瓦 | zh_TW |
dc.subject | 表現式 | zh_TW |
dc.subject | 模型式 | zh_TW |
dc.subject | Galois | en_US |
dc.subject | representation | en_US |
dc.subject | Modular form | en_US |
dc.title | 伽羅瓦表現與模型式 | zh_TW |
dc.title | Galois Representations and Modular Forms | en_US |
dc.type | Thesis | en_US |
dc.contributor.department | 應用數學系所 | zh_TW |
顯示於類別: | 畢業論文 |