论文标题
极端的中央$ l $ - 几乎是椭圆形曲线的几乎二次曲折的曲折
Extreme central $L$-values of almost prime quadratic twists of elliptic curves
论文作者
论文摘要
在本文中，我们证明了几乎椭圆曲线的几乎主要二次曲折的$ l $ functions的极端值。作为一种应用，我们获得了椭圆形曲线二次扭曲家族的泰特 - shafarevich群体的极端值，即出生的椭圆形曲线 - 静顿 - 尼尔顿 - 迪尔猜想。
In this paper, we prove the extreme values of $L$-functions at the central point for almost prime quadratic twists of an elliptic curve. As an application, we get the extreme values for the Tate--Shafarevich groups in the quadratic twist family of an elliptic curve under the Birth--Swinnerton-Dyer conjecture.
