Cube sums of the forms 3p and 3p(2)
文献类型：期刊论文
| 作者 | Shu, Jie3; Song, Xu2; Yin, Hongbo1 |
| 刊名 | MATHEMATISCHE ZEITSCHRIFT
 |
| 出版日期 | 2021-05-18 |
| 页码 | 29 |
| ISSN号 | 0025-5874 |
| DOI | 10.1007/s00209-021-02730-w |
| 英文摘要 | Let p = 2, 5 mod 9 be a prime. In this paper, we prove that at least one of 3p and 3p(2) is a cube sum by constructing certain nontrivial Heegner points. We also establish the explicit Gross-Zagier formulae for these Heegner points and give variants of the Birch and Swinnerton-Dyer conjecture of the related elliptic curves |
| 资助项目 | International Postdoctoral Exchange Fellowship Program (Talent-Introduction Program) of the OCPC ; Young Scholars Program of Shandong University ; [NSFC-11701092] ; [NSFC-11701548] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000651789400003 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58683]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yin, Hongbo |
| 作者单位 | 1.Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shu, Jie,Song, Xu,Yin, Hongbo. Cube sums of the forms 3p and 3p(2)[J]. MATHEMATISCHE ZEITSCHRIFT,2021:29. |
| APA | Shu, Jie,Song, Xu,&Yin, Hongbo.(2021).Cube sums of the forms 3p and 3p(2).MATHEMATISCHE ZEITSCHRIFT,29. |
| MLA | Shu, Jie,et al."Cube sums of the forms 3p and 3p(2)".MATHEMATISCHE ZEITSCHRIFT (2021):29. |
入库方式： OAI收割
来源：数学与系统科学研究院
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