关于模p^α原根分布的推广

Extension on the Distribution of Primitive Roots Modulo p

设p为奇素数,α为任意大于1的整数,对于任意给定的正整数k,k|pα-pα-1,本文主要研究模pα的k次剩余的分布性质．

Let p be an odd prime, k is a positive integer with k｜p^α - p^α-1. The main purpose of this paper is to study the distribution of k-th residue modulo p^α, when α is a positive integer with α 〉 1.