关于一个新数论函数的混合均值

数学季刊 ›› 2008, Vol. 23 ›› Issue (3): 325-329.

关于一个新数论函数的混合均值

Department of Mathematics,Northwest University

收稿日期:2005-09-15 出版日期:2008-09-30 发布日期:2023-09-19
作者简介:REN Gang-lian(1970- ), male, native of Xianyang, Shaanxi, a lecturer of Xianyang Normal College, Ph.D., engages in number theory
基金资助:
Supported by the NSF(60472068)；Supported by the PSF of China(2004A09)；

Some Hybrid Mean Values of a New Number Theoretic Function

Department of Mathematics,Northwest University

Received:2005-09-15 Online:2008-09-30 Published:2023-09-19
About author:REN Gang-lian(1970- ), male, native of Xianyang, Shaanxi, a lecturer of Xianyang Normal College, Ph.D., engages in number theory
Supported by:
Supported by the NSF(60472068)；Supported by the PSF of China(2004A09)；

摘要/Abstract

摘要： Let p and q be two distinct primes, e_pq(n) denotes the largest exponent of power pq which divides n. In this paper, we study the mean value properties of function e_pq(n), and give some hybrid mean value formulas for e_pq(n) and Dirichlet divisor function d(n).

关键词: largest exponent, asymptotic formula, hybrid mean value, Dirichlet divisor
function d(n)

Abstract: Let p and q be two distinct primes, e_pq(n) denotes the largest exponent of power pq which divides n. In this paper, we study the mean value properties of function e_pq(n), and give some hybrid mean value formulas for e_pq(n) and Dirichlet divisor function d(n).

Key words: largest exponent, asymptotic formula, hybrid mean value, Dirichlet divisor
function d(n)

中图分类号:

O156.4

任刚练 . 关于一个新数论函数的混合均值[J]. 数学季刊, 2008, 23(3): 325-329.

REN Gang-lian. Some Hybrid Mean Values of a New Number Theoretic Function[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(3): 325-329.

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