On the number of quintic fields

被引：5
|
作者：
Kable, AC [1 ]
Yukie, A
机构：
[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA
[2] Tohoku Univ, Inst Math, Sendai, Miyagi 9808578, Japan
来源：
INVENTIONES MATHEMATICAE | 2005年 / 160卷 / 02期
关键词：
D O I：
10.1007/s00222-004-0391-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the number of quintic number fields whose discriminant does not exceed X in absolute value is bounded by a constant times X1+epsilon for any epsilon > 0. This may be compared with the conjecture that the number of such fields is asymptotic to a constant times X as X tends to infinity.
引用
收藏
页码：217 / 259
页数：43
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