This article gives a property and a corollary which is like Chowla s theorem, for reducedresidue system.
得到了既约剩余系中同阶元的等幂和的一系列性质及其计算公式，并给出了证明。
2
This paper considers some properties of the sum of equal powers and the product of the elements of the same order in the reducedresidue system.
得到了既约剩余系中同阶元的等幂和的一系列性质及其计算公式，并给出了证明。
3
This article has obtained a series properties and a calculate formula of the sum of the equal powers of the elements of the same order in the reducedresidue system.