论文标题
假想二次场中订单的算术特性
Arithmetic properties of orders in imaginary quadratic fields
论文作者
论文摘要
让$ k $成为一个虚构的二次领域。对于$ k $中的$ \ MATHCAL {O} $和一个正整数$ n $，让$ k _ {\ Mathcal {o}，\，n} $为$ \ Mathcal {O} $ modulo $ n \ Mathcal {o} $的射线类字段。我们处理与$ k _ {\ Mathcal {o}，\，n} $有关的各种主题，主要是关于带有复杂乘法的椭圆形曲线上的Galois表示，表单类组和$ l $ unctions的订单。
Let $K$ be an imaginary quadratic field. For an order $\mathcal{O}$ in $K$ and a positive integer $N$, let $K_{\mathcal{O},\,N}$ be the ray class field of $\mathcal{O}$ modulo $N\mathcal{O}$. We deal with various subjects related to $K_{\mathcal{O},\,N}$, mainly about Galois representations attached to elliptic curves with complex multiplication, form class groups and $L$-functions for orders.
