n进制中数字之和函数的p次均值  

Base n Digital Sum Function and Its pth-power Mean Value

作　　者：杨倩丽[1] 

机构地区：[1]渭南师范学院数学与信息科学学院,陕西渭南714000

出　　处：《渭南师范学院学报》2012年第2期8-10,16,共4页Journal of Weinan Normal University

基　　金：陕西省科技厅自然科学基金项目(2010JM1009);陕西省教育厅科研资助项目(2010JK541)

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.

关 键 词：N进制 数字之和函数 均值 

分 类 号：O156.4[理学—数学]