An error estimate for counting S-3-sextic number fields

作者：Taniguchi Takashi^*; Thorne Frank

来源：International Journal of Number Theory, 2014, 10(4): 935-948.

DOI：10.1142/S1793042114500080

• Sextic fields
• cubic fields
• Shintani zeta functions

In this paper, we prove a power-saving remainder term for the function counting S(3-)sextic number fields. We also give a prediction on the second main term. In addition, we present numerical data on counting functions for S-3-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.

• 出版日期2014-6