论文标题

小度的数字字段的改善界限

Improved bounds on number fields of small degree

论文作者

Anderson, Theresa C., Gafni, Ayla, Hughes, Kevin, Oliver, Robert J. Lemke, Lowry-Duda, David, Thorne, Frank, Wang, Jiuya, Zhang, Ruixiang

论文摘要

我们研究了$ n $数字字段的数量,其判别为$ x $。在本文中,由于Schmidt在此类领域的数量上,我们改善了上限,这些字段以前是最著名的上限,价格为$ 6 \ leq n \ leq 94 $。

We study the number of degree $n$ number fields with discriminant bounded by $X$. In this article, we improve an upper bound due to Schmidt on the number of such fields that was previously the best known upper bound for $6 \leq n \leq 94$.

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