关于一个新数论函数的混合均值
Let p and q be two distinct primes,epq(n) denotes the largest exponent of power pq which divides n.In this paper,we study the mean value properties of function epq(n), and give some hybrid mean value formulas for epq(n) and Dirichlet divisor function d(n).
作 者： 任刚练 REN Gang-lian 作者单位： Department of Mathematics,Northwest University,Xi'an 710069,China;Department of Mathematics,Xianyang Normal College,Xianyang 712000,China 刊 名： 数学季刊（英文版） ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年，卷(期)： 2008 23(3) 分类号： O156.4 关键词： largest exponent asymptotic formula hybrid mean value Dirichlet divisor function d(n)