论文标题
在索引分隔符和某些六号字段的单位性上，由$ x^6+ax^5+b $定义
On index divisors and monogenity of certain sextic number fields defined by $x^6+ax^5+b$
论文作者
论文摘要
本文的主要目的是为narkiewicz \ cite \ cite {nar}的问题提供完整的答案。也就是说，我们计算了字段$ K $的索引。特别是，如果$ i（k）\ neq 1 $，则$ k $不是杂种。最后，我们通过一些计算示例来说明结果。
The main goal of this paper is to provide a complete answer to the Problem 22 of Narkiewicz \cite{Nar} for any sextic number field $K$ generated by a complex root $α$ of a monic irreducible trinomial $F(x) = x^6+ax^5+b \in \mathbb{Z}[x]$. Namely we calculate the index of the field $K$. In particular, if $i(K)\neq 1$, then $K$ is not mongenic. Finally, we illustrate our results by some computational examples.
