北华大学学报(自然科学版)2013,Vol.14Issue(3):264-265,2.DOI:10.11713/j.issn.1009-4822.2013.03.004
算术函数ep(n)和无3次因子数列的性质
An Arithmetical Function ep (n) and the Cube Free Number Sequences
摘要
Abstract
Let p be a prime,ep (n) denote that n included the largest exponent of power p.This paper is mainly to study the mean value properties of ep (n) acting on the cube free number sequences,and an interesting asymptotic formula is given.关键词
最大指数/无3次因子数列/渐近公式Key words
largest exponent/cube free number sequences/asymptotic formula分类
数理科学引用本文复制引用
祁兰..算术函数ep(n)和无3次因子数列的性质[J].北华大学学报(自然科学版),2013,14(3):264-265,2.基金项目
陕西省教育厅科学研究项目(12JK0886) (12JK0886)
榆林学院科研基金项目(11YK30). (11YK30)