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arXiv · 2205.10754

Arithmetic properties of orders in imaginary quadratic fields

Ho Yun Jung·Ja Kyung Koo·Dong Hwa Shin·Dong Sung Yoon
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Abstract

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.

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Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin, Dong Sung Yoon. 2022-05-22. Arithmetic properties of orders in imaginary quadratic fields. https://arxiv.org/abs/2205.10754

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