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On the weak forms of the 2-part of Birch and Swinnerton-Dyer conjecture
Mathematical Proceedings of the Cambridge Philosophical Society ( IF 0.6 ) Pub Date : 2018-09-05 , DOI: 10.1017/s0305004118000671
SHUAI ZHAI

In this paper, we investigate the weak forms of the 2-part of the conjecture of Birch and Swinnerton-Dyer, and prove a lower bound for the 2-adic valuation of the algebraic part of the central value of the complex L-series for the family of quadratic twists of all optimal elliptic curves over ${\mathbb Q}$.

中文翻译:

关于 Birch 和 Swinnerton-Dyer 猜想的 2 部分的弱形式

在本文中,我们研究了 Birch 和 Swinnerton-Dyer 猜想的 2-部分的弱形式,并证明了复数中心值的代数部分的 2-adic 估值的下界大号-series 用于所有最优椭圆曲线的二次扭曲族${\mathbb Q}$.
更新日期:2018-09-05
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