| Non-vanishing of central L-values of canonical CM elliptic curves with quadratic twists | |
|---|---|
| 學年 | 104 |
| 學期 | 1 |
| 出版（發表）日期 | 2016-01-05 |
| 作品名稱 | Non-vanishing of central L-values of canonical CM elliptic curves with quadratic twists |
| 作品名稱（其他語言） | |
| 著者 | Pin-Chi Hung; Yao Cheng |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Manuscripta Mathematica 150, p.293–335 |
| 摘要 | The aim of this paper is to extend results of Rorlich, Villegas and Yang about the non-vanishing of central L-values of canonical characters of imaginary quadratic fields over the rationals. One of the new ingredients in our paper is the local computations at the place “2”. Therefore, we extend their non-vanishing results to include imaginary quadratic fields of even discriminant. As a consequence, we show that the rank of the Mordell–Weil groups of certain canonical CM elliptic curves are zero. |
| 關鍵字 | |
| 語言 | en_US |
| ISSN | 1432-1785 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 是 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/120759 ) |
| SDGS | 優質教育 |
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