The generalized Soulé character was introduced by H. Nakamura and Z. Wojtkowiak which is a generalization of Soulé’s cyclotomic character. In this paper, we prove that certain linear sums of generalized Soulé characters essentially coincide with the image of generalized Beilinson elements in Kgroups under Soulé’s higher regulator maps. This result generalizes Huber– Wildeshaus’ theorem, which is a cyclotomic field case of our results, to an arbitrary number fields.

中文翻译：

---

广义贝林森元素和广义灵魂特征

广义的 Soulé 特征是由 H. Nakamura 和 Z. Wojtkowiak 引入的，它是 Soulé 的圆环特征的概括。在本文中，我们证明了广义Soulé 特征的某些线性和与Soulé 更高调节器映射下Kgroups 中广义Beilinson 元素的图像基本一致。该结果将 Huber-Wildeshaus 定理（我们结果的分圆场情况）推广到任意数量的场。