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关于伪Smarandache函数Z(n)的2个问题 被引量:2

On Two Questions of the Pseudo Smarandache Function Z(n)
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摘要 研究了ln Z(n)的均值分布性质,利用初等、解析方法,获得了伪Smarandache函数Z(n)的性质,解决了Felice Russo提出的2个扩展极限的计算问题. The arithmetical properties of In Z(n) is studied by the elementary methods and analytic meth- ods,the properties of pseudo Smarandache function Z(n) are therefore obtained, and thus the two computational problems of limit extension proposed by Felice Russo are solved.
作者 黄炜
出处 《吉首大学学报(自然科学版)》 CAS 2014年第5期10-12,50,共4页 Journal of Jishou University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(11071194) 陕西省教育厅自然科学基金资助项目(09JK432)
关键词 伪SMARANDACHE函数 分布性质 极限 渐近公式 pseudo Smarandache function distribution properties limit asymptotic formula
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参考文献10

  • 1FELICE RUSSO.A Set of New Smarandache Function,Sequences and Conjectures in Number Theory[M].USA:American Research Press,2000.
  • 2GUNARTO H,MAJUMDAR A.A.K.On Numerical Values of Z(n)[A].ZHANG Wenpeng.[Eds.],Smaramtache on Number Theory and Smarandache Notions:Proceedings of the Fifth Inter National Conference on Number Theory and Smarandache Notions[C].America:Hexis,2009:74-77.
  • 3DAVID GORSKI.The Pseudo Smarandache Function[J].Smarandache Notions Journa,2002,13:140-149.
  • 4ALEKSANDAR IVIC.On a Problem of Erdos Involving the Largest Prime Factor of n[J].M.Math.,2005,145:35-46.
  • 5马 荣.Smarandache问题研究[M].America:Hexis,2012:449-451.
  • 6黄炜,刘志峰.关于减法补数复合函数的均值估计[J].西华大学学报(自然科学版),2014,33(1):48-51. 被引量:2
  • 7乐茂华.两个有关伪Smarandache函数的方程[J].吉林化工学院学报,2004,21(4):96-96. 被引量:5
  • 8关文吉,郑亚妮.关于伪Smarandache函数的一个方程[J].纺织高校基础科学学报,2008,21(2):151-153. 被引量:5
  • 9TOM M APOSTOL.Introduction to Analytic Number Theory[M].New York:Springer Verlag,1976.
  • 10潘承洞,潘承彪.解析函数论基础[M].北京:科学出版社,1997.

二级参考文献17

  • 1沈虹.一个新的数论函数及其它的值分布[J].纯粹数学与应用数学,2007,23(2):235-238. 被引量:31
  • 2华罗庚.数论导引[M].北京:科学出版社,1979.11-12.
  • 3Smarandache F. A function in the number theory[J]. Ann Timisoara Univ Ser Math,1980, 28(1): 79-88.
  • 4Kashihara K. Comments and topics on Smarandache notions and problems [M]. Vail: Erhus Univ Press, 1996.
  • 5Ashbacher C. The pseudo Smarandache function and the classical funtions of number theory[J]. Smarandache Notions J, 1998,(9):78-81.
  • 6Ibstedt H. On the pseudo Smarandache function and iteration problems [J]. Smarandache Notions J, 2001,(12):36-43.
  • 7LE Maohua. On the Pseudo-Smarandache-Squarefree function[J]. Smarandache Notions Journal,2002(13) :229-236.
  • 8KASHIHARA K. Comments and topics on Smarandache notions and problems[M]. Vail USA.. Erhus Univ Press, 1996.
  • 9RUSSO Felice. A set of new Smarandache function, sequences and conjectures in number theory[M]. Lupton USA: American Research Press, 2000.
  • 10GORSKI David. The Pseudo-Smarandache function[J]. Smarandache Notions Journal,2002(13): 140-149.

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