关于位数函数高次均值的计算  

On high power mean values computations of the location number function

作　　者：李海龙[1] 周军[1] 

机构地区：[1]渭南师范学院数学与应用数学研究所,陕西渭南714000

出　　处：《纯粹数学与应用数学》2009年第4期770-773,共4页Pure and Applied Mathematics

基　　金：陕西省自然科学基金(SJ08A22)

摘　　要：针对1993年美国数论专家Smarandache提出了初等数论及集合论中的105个未解决的问题中的5个关于自然数列的性质问题,就自然数列的位数函数问题进行了研究,给出了在一个正整数的n进制表示中的位数函数定义,采用了归纳、猜想的方法得出了位数函数a(m,n)的高次均值的精确计算公式.This article was inferred to 105 unsolution questions in primary theory of numbers and set theory which were proposed by American theory of numbers expert Smarandache in 1993 about the nature question of natural sequence, conducted the figure function question of the natural sequence. It was produced n the figure function definition in a positive integer in the system expression, and has used induction suspected methods then has obtained two direct the principle which was related to, also using these directed the principle to obtain Figure function a（m, n）; High power mean values as mean as the precise formula on.

关 键 词：N进制 位数函数 均值 

分 类 号：O156.4[理学—数学]