期刊文献+

关于F.Smarandache简单函数与Dirichlet除数和函数的混合均值 被引量:3

On the Hybrid Mean Value Involving the F.Smarandache Simple Function and the Dirichlet Divisor Function
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摘要 利用解析方法研究了F.Smarandache简单函数与Dirichlet除数和函数的混合均值,得出了两个较为精确的渐近公式. The main purpose of this paper is using the analytic method to study the hybrid mean value involving the F.Smarandace simple function and the sum of Dirichlet divisor function.Two sharped asymptotic formulae are given.
作者 朱敏慧
出处 《内蒙古师范大学学报(自然科学汉文版)》 CAS 2010年第5期441-443,共3页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10671155) 西安工程大学校管科研项目
关键词 F.Smarandache简单函数 Dirichlet除数和函数 混合均值 渐近公式 F.Smarandache simple function the sum of Dirichlet divisor function hybrid mean value asymptotic formula
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参考文献8

  • 1Florentin Smarandache.Only problems.not Solutions[M].Chicago:Xiqu Publishing House,1993.
  • 2Jozsef Sandor.On additive analogue of certain arithmetic function[J].Smarandache Notions Journal.2004,14:128-132.
  • 3Maohua Le.Some Problems Concerning the Smarandachr square complementary function[J].Smarandache Notions Journal.2004,14:220-222.
  • 4Zhu Minhui.The additive analogue of Smarandaehe simple function[C]//Research on Smarandache problem in number theory.USA:Hexis,2004:39-40.
  • 5冀永强.数论函数及其方程[J].纺织高校基础科学学报,2006,19(1):5-6. 被引量:7
  • 6朱敏慧.关于F. Smarandache函数的一个问题[J].江西科学,2009,27(3):337-338. 被引量:1
  • 7闫晓霞.Smarandache LCM函数与其对偶函数的混合均值[J].内蒙古师范大学学报(自然科学汉文版),2010,39(3):229-231. 被引量:10
  • 8Apostol T M.Introduction to Analytic Number Theory[M].New York:Springer-Verlag,1976.

二级参考文献21

  • 1Smarandache F. Only Problem, Not Solution [ M ]. Chicago: Xiquan Publishing House, 1993.
  • 2Jozsef Sandor. On additive analogue of certain arithmetic function [ J ]. Smarandache Notions Journal, 2004, !4 : 128 - 132.
  • 3Maohua I.e. Some problems concerning the Smarandachr square complementary function [ J ]. Smarangache Notions Journal,2004,14 : 220 - 222.
  • 4Zhu Min - hui. The additive analogue of Smarandache simple function: Research on Smarandache problem in number theory[ C ]. Hexis ,2004.
  • 5Apostol T M. Introduction to Analytic Number Theory [ M ]. New York : Springer - Verlag, 1976.
  • 6Chen Jianbin.Value distribution of the F.Smarandache LCM function[J].Scientia Magna.2007,3(2):15-18.
  • 7Murthy A.Some notions on least common multipies[J].Smarandache Notions Journal.2001.12:307-309.
  • 8LE Mao-hua.Two function equations[J].Smarandache Notions Journal.2004.14:180-182.
  • 9Lu Zhongtian.On the F.Smarandache LCM function and its mean value[J].Scientia Magna.2007.3(1):22-25.
  • 10Ge Jian.Mean value of the F.Smarandache LCM function[J].Scientia Magna.2007.3(2):109-112.

共引文献15

同被引文献14

  • 1乐茂华.关于Smarandache LCM函数的一个方程[J].西安工程科技学院学报,2004,18(3):263-264. 被引量:31
  • 2Smarandache F.Only Problems,Not Solutions[M].Chicago:Xiquan Publishing House,1993.
  • 3Smarandache F.Sequences of Numbers Involved in Unsolved Problems[M].Hexis,2006.
  • 4Jianbin Chen.Value distribution of the F.Smarandache LCM function[J].Scientia Magna,2007,3(2):15-18.
  • 5Lü Zhongtian.On the F.Smarandache LCM function and its mean value[J].Scientia Magna,2007,3(1):22-25.
  • 6Ge Jian.Mean value of the F.Smarandache LCM function[J].Scientia Magna,2007,3(2):109-112.
  • 7Kenichiro Kashihara.Comments and topics on Smarandache notions and problems[M].Erhus University Press,1996.
  • 8Tom M Apostol.Introduction to Analytic Number Theory[M].New York:Springer-Verlag,1976.
  • 9Nan Wu.On the Smarandache 3n-digital sequence and the Zhang Wenpeng's conjecture[J].Scientia Magna,2008,4(4):120-122.
  • 10Tom M.Apostol.Introduction to Analytical Number Theory[M].New York:Spring-Verlag,1976.

引证文献3

二级引证文献9

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