In this paper, we use some of our previous results to improve an upper bound of Bayer–Fluckiger, Borello, and Jossen on the Euclidean minima of algebraic number fields. Our bound depends on the degree n of the field, its signature, discriminant, and the Hermite constant in dimension n.

中文翻译：

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代数数域的欧几里得最小值

在本文中，我们使用之前的一些结果来改进拜耳-弗鲁基格、博雷洛和乔森在代数数域的欧几里德最小值上的上限。我们的界限取决于场的阶数n 、其特征、判别式以及维度n中的埃尔米特常数。