吉首大学学报(自然科学版)2005,Vol.26Issue(4):76-78,3.
一个算术函数和正整数的k次根的整部
An Arithmetic Function and the K- th Roots of a Postive Integers
摘要
Abstract
Let n be any postive integer, ak (n) denotes the integer part of k - th root of n. Let p be a prime, ep (n) denotes the largest exponent of power p which divides n. The main purpose of this paperis to study the mean value properties of ep ( ak (n) ) and give an interesting asymptotic formula for it.关键词
k次根/最大指数/渐近公式Key words
K - th root/largest exponent/asymptotic formula分类
数理科学引用本文复制引用
高丽,祁兰,赵院娥..一个算术函数和正整数的k次根的整部[J].吉首大学学报(自然科学版),2005,26(4):76-78,3.基金项目
This work is supported by the Province Education Commission Science Foundation of Shaanxi(04JK301) (04JK301)