关于模P原根分布的一个推广

On a generalization of the distribution of primitive roots modulo p

利用 Kloostermann和估计、三角和估计及其解析方法研究推广的模 p原根的分布性质M( p,k,δ,α) =12 k ∑a1 ∈ A…∑ak∈ Aa1 … ak≡ 1(p)| ai-ai|≤δp∏kj=1| aj- aj|

The main purpose of this paper is to study the distribution propertiesM(p,k,δ,α)=12~k((∑a_1∈A…∑a_k∈A)a_1…a_k≡1(p))｜a_i-_i｜≤δp∏kj=1｜a_j-_j｜~αby using the estimates for Kloostermann's sums、the estimates for trigonometric sums and the analytic method. and it give an interesting asymptotic formula.