Cube sums of the forms 3p and 3p(2)

doi:10.1007/s00209-021-02730-w

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	Cube sums of the forms 3p and 3p(2)
	Shu, Jie 1; Song, Xu 2; Yin, Hongbo 3
	2021-05-18
发表期刊	MATHEMATISCHE ZEITSCHRIFT
ISSN	0025-5874
页码	29
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
DOI	10.1007/s00209-021-02730-w
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000651789400003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58684
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.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Shandong Univ, Sch Math, Jinan 250100, Shandong, 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.