n进制中数字之和函数的P次均值

摘要

主要解决n进制中数字之和函数P次均值的计算问题；采用了猜想、归纳及数学归纳法等初等方法，得出n进制中数字之和函数P次均值的精确计算公式；使n进制中数字之和函数的均值计算问题得到彻底解决．%This paper was mainly resolved the pth-power mean value computation problem of the base n digital sum function. The element methods of recursion, induction, guessed and mathematical induction were used. And it reached the pth-power mean value computing formula of digital sum function in the base n, which made the problem of the pth-power mean value of the base n digital sum function resolved thoroughly.