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关于包含F.Smarandache简单函数的除数函数σ_α(n)(英文) 被引量:1

On the divisor function σ_α(n) involving the F.Smarandache simple function
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摘要 用解析的方法研究了σα(p(n))的渐近性质,并给出了关于σα(p(n))的两个渐近公式. The asymptotic properties of σa(p(n)) are studied by using the analytic method in this paper,and two interesting asymptotic formulas for it are given,where σa(n) is the divisor function.
作者 刘华
机构地区 西北大学数学系
出处 《纺织高校基础科学学报》 CAS 2007年第4期361-363,共3页 Basic Sciences Journal of Textile Universities
基金 NSFC(10671155)
关键词 F.Smarandache简单函数 均值 渐近公式 F. Smarandache simple function mean value asymptotic formula
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参考文献6

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二级参考文献5

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共引文献6

同被引文献8

  • 1刘燕妮,李玲,刘宝利.Smarandache未解决的问题及其新进展[M].Phoenix:High American Press,2008.
  • 2MURTHY Amarnath, ASHBACHER Charles. Generalized partitionsand new ideas on number theory and Smarandache sequences[M]. Hexis: Phoenix, 2005 : 87.
  • 3SMARANDACHE F. Only problems,not solutions[M]. Chicago:Xiquan Publishing House, 1993:23.
  • 4LIU Hongyan,ZHANG Wenpeng. On the simple numbers and themean value problems[J]. Smarandache Notions Journal, 2004,14:171-175.
  • 5陈国慧.Smarandache问题的新进展[M].Phoenix: High American Press,2007.
  • 6APOSTOL T M. Introduction to analytic number theory[M]. New York: Springer-Verlag, 1976.
  • 7朱敏慧.Smarandache函数的混合均值(英文)[J].纺织高校基础科学学报,2009,22(3):295-298. 被引量:3
  • 8苟素.Smarandache kn数字数列及其一类均值性质[J].纺织高校基础科学学报,2011,24(2):250-252. 被引量:5

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