Arithmetic properties of orders in imaginary quadratic fields

Autor: Jung, Ho Yun, Koo, Ja Kyung, Shin, Dong Hwa, Yoon, Dong Sung
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv