论文标题
连接到某些椭圆曲线的Hecke字符的根号的分布
Distribution of root numbers of Hecke characters attached to some elliptic curves
论文作者
论文摘要
在本文中,我们表明,j = 1728的一组椭圆曲线的动作保留了某种对称性的对称性,这些对称性是附加到此类椭圆曲线的Hecke字符的局部根号。结果,我们给出了根号的分布及其平均上述Hecke字符的结果。
In this paper, we show that an action on the set of elliptic curves with j= 1728 preserves a certain kind of symmetry on the local root number of Hecke characters attached to such elliptic curves. As a consequence, we give results on the distribution of the root numbers and their average of the aforementioned Hecke characters.