摘要
定义了整数标准分解式的数论函数β(n,p)及其均值sum βk(n,p) from n≤N,采用初等数论的n!标准分解式方法和解析数论的和均值方法,研究了函数β(n,p)及其均值的计算问题,给出整数n的标准分解式中的指数函数β(n,p)的计算公式,以及其均值sum βk(n,p) from n≤N (k=1,2)的精确计算公式.
Definitions of number theoretic function β（n,p） of the factorization of n and it＇s mean value calculation sum βk（n,p） from n≤N were given.The method of the elementary number theory of the factorization of n! and analytic theory and average method were adopted.Number theoretic function β（n,p） and it＇s mean value calculation were studied.Precise calculation formulas of exponential function β（n,p） of integer standard decomposition type and mean value calculation sum βk（n,p） from n≤N were got.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2011年第5期437-440,共4页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
陕西省科技厅自然科学基金项目(2010JM1009)
陕西省教育厅自然科学基金项目(2010JK540)
关键词
整数标准分解式
数论函数
均值
计算公式
integer standard decomposition type
number theoretic function
mean value
computing formula
