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

页码：217 / 259

页数：43

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