有限域上多项式的Moebnius函数及其性质

Moebnius functions and theirs properties over finite fields

首先给出有限域上多项式的Moebnius函数,主要讨论有限域上多项式的Moebnius函数相关性质,得到与自然数集上Moebnius函数类似的结论,并且这些性质可以推广到一般域上多项式的Moebnius函数。

In this paper,Moebnius functions and theirs properties over finite fields have been discussed,some similar properties have been obtained.At the same time these properties can generated to Moebnius functions over any fields.