期刊文献+

Smarandache函数的混合均值(英文) 被引量:3

Hybrid mean value on some Smarandache functions
在线阅读 下载PDF
导出
摘要 用初等的方法研究了Smarandache函数和k次根序列的性质,并且得到了一个有趣的渐进公式. The mean value properties of the Smarandache function acting on k-th roots sequences is studied by using the elementary method, an interesting asymptotic formula is obtained.
作者 朱敏慧
出处 《纺织高校基础科学学报》 CAS 2009年第3期295-298,共4页 Basic Sciences Journal of Textile Universities
基金 Supported by the SF of Education Department of Shaanxi province(07JK267) the Funding of Xi'an Poly-technic University(09XG27)
关键词 SMARANDACHE函数 k次根 均值 smarandache function k-th roots mean value
  • 相关文献

参考文献6

二级参考文献14

  • 1赵院娥.一个新的数论函数及其均值[J].纯粹数学与应用数学,2006,22(2):163-166. 被引量:5
  • 2徐哲峰.Smarandache函数的值分布性质[J].数学学报(中文版),2006,49(5):1009-1012. 被引量:89
  • 3Erdos P, Problem 6674, Amer. Math. Monthly, Vol. 98, 1991, 965.
  • 4Tabirca S, About S-multiplicative functions, Octogon, 1999, 7: 169-170.
  • 5Apstol T. M, Introduction to analytic number theory, New York: Springer-Verlag, 1976, 77.
  • 6MAOHUA L E.On the Smarandache double factorial function[J].Smarandache Notions Journal,2002,1(1-2-3):37-42.
  • 7FARRUS Mark,MITCHELL Patrick.Bounding the smarandache function[J].Smarandache Notions Journal,2002,1(1-2-3):37-42.
  • 8闵嗣鹤,严士健.初等数论[M].北京:高等教育出版社,2004:16-18.
  • 9RUSSO F.An introduction to the Smarandache double factorial function[J].Smarandache Notions,2001(12):158-167.
  • 10Smarandache F. Only Problems, Not Solutions [M]. Chicago:Xiquan Publishing House, 1993.

共引文献90

同被引文献24

  • 1张文鹏,李海龙.初等数论[M].西安:陕西师范大学出版社,2008:129-139.
  • 2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.
  • 3DIRICHLET G L. Sur l'usage des s6ries infinies dans lath6orie des nombres[J]. Crelle's Journal, 1938,18:259-274.
  • 4HUXLEY M N. Exponential sums and lattice points m [J]. Proc London Math Soc,2003,87:591-609.
  • 5TONG K C. On divisor problems II [J]. Acta Math Sinica,1956,6:139-152.
  • 6JOZSEF Sandor, DRAGOSLAV S. Mitrinovi, Handbook of number theory I [M]. New York: Springer, 2006.
  • 7Apostol T M. Introduction to analytic number theory [M]. New York..Springer-Verlag,1976.
  • 8AMARNATH Murthy,CHARLES Ashbacher. Generalized partitions and new ideas on number theory and Smaran- dache sequencea[M]. Phoenix : Hexis, 2005.
  • 9MURTHY Amarnath, ASHBACHER Charles. Generalized partitionsand new ideas on number theory and Smarandache sequences[M]. Hexis: Phoenix, 2005 : 87.
  • 10SMARANDACHE F. Only problems,not solutions[M]. Chicago:Xiquan Publishing House, 1993:23.

引证文献3

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部