The even parity Goldfeld conjecture: Congruent number elliptic curves
文献类型：期刊论文
| 作者 | Burungale, Ashay1; Tian, Ye2,3 |
| 刊名 | JOURNAL OF NUMBER THEORY
 |
| 出版日期 | 2022 |
| 卷号 | 230页码:161-195 |
| 关键词 | L-function Selmer group Goldfeld conjecture BSD conjecture Quadratic twist Tunnell's theorem Congruent numbers |
| ISSN号 | 0022-314X |
| DOI | 10.1016/j.jnt.2021.05.001 |
| 英文摘要 | In 1979 Goldfeld conjectured: 50% of the quadratic twists of an elliptic curve defined over the rationals have analytic rank zero. In this expository article we present a few recent developments towards the conjecture, especially its first instance -the congruent number elliptic curves. (c) 2021 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000712064000008 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59501]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Tian, Ye |
| 作者单位 | 1.CALTECH, 1200 E Calif Blvd, Pasadena, CA 91125 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, MCM, HLM, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 10049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Burungale, Ashay,Tian, Ye. The even parity Goldfeld conjecture: Congruent number elliptic curves[J]. JOURNAL OF NUMBER THEORY,2022,230:161-195. |
| APA | Burungale, Ashay,&Tian, Ye.(2022).The even parity Goldfeld conjecture: Congruent number elliptic curves.JOURNAL OF NUMBER THEORY,230,161-195. |
| MLA | Burungale, Ashay,et al."The even parity Goldfeld conjecture: Congruent number elliptic curves".JOURNAL OF NUMBER THEORY 230(2022):161-195. |
入库方式： OAI收割
来源：数学与系统科学研究院
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