论文标题
$ ax^2+bxy+cy^2 $的整数
Integers of the Form $ax^2+bxy+cy^2$
论文作者
论文摘要
我们提供了由正定二进制二进制形式$ ax^2+bxy+cy^2 $表示的整数表征。为了证明主要定理，我们定义了假想的二次场中两个阶的“相对导体”。然后，我们提供了在虚构二次场中适当的秩序理想分解的表征。此外，我们提出了一些主要定理的有趣示例。
We provide a characterization of integers represented by the positive definite binary quadratic form $ax^2+bxy+cy^2$. In order to prove the main theorem, we define the "relative conductor" of two orders in an imaginary quadratic field. Then we provide a characterization of decomposition of proper ideals of orders in imaginary quadratic fields. Moreover we present some interesting examples of the main theorem.
