论文标题
Lehmer Quintics引起的Non-Pólya田地
Non-Pólya Fields with Large Pólya Groups Arising from Lehmer Quintics
论文作者
论文摘要
在本文中，我们构建了一个新的五季型非pólya领域，其中包括大型pólya群体。我们研究了此类领域的Pólya数量的上限，并表明Pólya数量的大小不超过其Pólya群体的五倍。最后，我们表明这种非pólya场是场索引的非单性领域。
In this article we construct a new family of quintic non-Pólya fields with large Pólya groups. We study the upper bound of Pólya numbers of such fields and show that the Pólya numbers never exceed five times the size of its Pólya group. Finally we show that such non-Pólya fields are non-monogenic fields of field index one.
