QQ客服 官方微博 反馈留言

	A criterion for elliptic curves with lowest 2-power in L(1)
	Zhao, CL
	1997
英文摘要	Let D = pi(1)...pi(n), where pi(1),...,pi(n), are distinct Gaussian primes = 1(mod 4) and n is any positive integer. In this paper, we prove that the value of the Hecke L-function attached to the elliptic curve E-D2: y(2) = x(3)-D(2)x at s = 1, divided by the period omega defined below, is always divisible by 2(n-1). Moreover, we give a simple combinatorial criterion for this value to be exactly divisible by 2(n-1). Our results are in accord with the predictions of the conjecture of Birch and Swinnerton-Dyer, and, when D is rational, enable us to prove the conjecture of Birch and Swinnerton-Dyer for E-D2 when the value at s = 1 is exactly divisible by 2(n-1).; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1997XB55700001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 17; ARTICLE; 385-400; 121
语种	英语
出处	SCI
出版者	mathematical proceedings of the cambridge philosophical society
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/315151]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhao, CL. A criterion for elliptic curves with lowest 2-power in L(1). 1997-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。