An error estimate for counting S_3-sextic number fields
An error estimate for counting S_3-sextic number fields
复制标题
S_3-sextic数域计数的误差估计
DOI：
10.1142/s1793042114500080
复制
发表时间：
2014
影响因子：
0.7
通讯作者：
F. Thorne
中科院分区：
文献类型：
--
作者：
T. Taniguchi;F. Thorne
本文证明了S3-六次数域计数函数的一个省电余项。并对第二主项进行了预测。此外，我们提出了S3-六次数域计数函数的数值数据。数据表明，我们的预测可能是正确的，它也表明存在额外的低阶项，我们还无法解释。
In this paper, we prove a power-saving remainder term for the function counting S3-sextic number fields. We also give a prediction on the second main term. In addition, we present numerical data on counting functions for S3-sextic number fields. The data indicates that our prediction is likely to be correct, and it also suggests the existence of additional lower-order terms which we have not yet been able to explain.