A density theorem and its application

被引：0
|
作者：
HouRong Qin
QiQing Shen
机构：
[1] Nanjing University,Department of Mathematics
来源：
Science China Mathematics | 2015年 / 58卷
关键词：
Dirichlet density; ring class field; Vandiver’s conjecture; 11R18; 11R45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We compute the density of primes represented by a special quadratic form in a fixed square residue class. Using this result and a new method introduced by Thaine we prove the fact that for a prime p > 3 congruent to 3 modulo 4, the component e(p+1)/2 of the p-Sylow subgroup of the ideal class group of ℚ(ζp) is trivial.
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页码：1621 / 1626
页数：5
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