论文标题
阿贝尔数字字段的属数字的分布
Distribution of genus numbers of abelian number fields
论文作者
论文摘要
我们研究了具有给定的Galois组的Abelian延伸的属数量的定量行为。我们证明了属数的平均值的渐近公式,并表明任何给定的属数仅出现在0%的时间。
We study the quantitative behaviour of genus numbers of abelian extensions of number fields with given Galois group. We prove an asymptotic formula for the average value of the genus number and show that any given genus number appears only 0% of the time.