Chinese Quarterly Journal of Mathematics ›› 2002, Vol. 16 ›› Issue (3): 53-56.

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A Number Theoretic Function and Its Mean Value Computation

  

  1.  渭南师范学院数学系渭南师范学院数学系 陕西渭南714000 
  • Received:2001-12-27 Online:2002-09-30 Published:2024-04-28
  • About author:LI Hai-long(1963-),male,native of Weinan,Shanxi,an associate professor of Weinan Teacher’s College,engages in number theory.
  • Supported by:
    Supported by the National Natural Science Foundation of Shannxi Province(2000SL05);Suppored by the
    Weinan Teacher’s College Foundation(01YKS017)

Abstract: 设 p是一个素数 ,n是任意正整数 ,函数α(n ,p)表示 p在n !标准分解式中的指数 ,本文给出了函数α(n ,p)的均值 ∑n<Nα(n ,p)的一个精确计算公式 

Key words:  , 数论函数, 均值, 计算公式,  ,

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