论文标题
计数Quintic领域与第一属
Counting quintic fields with genus number one
论文作者
论文摘要
我们证明了有关五五个场属数量的几个结果：我们计算了具有第一属的五季田的比例。我们证明，五五只五个领域的积极比例有任意的属数。我们计算了五峰场的平均属数。所有这些结果也仅限于$ s_5 $ - Quintic字段。
We prove several results concerning genus numbers of quintic fields: we compute the proportion of quintic fields with genus number one; we prove that a positive proportion of quintic fields have arbitrarily large genus number; and we compute the average genus number of quintic fields. All of these results also hold when restricted to $S_5$-quintic fields only.
