杨长恩;

• 1:咸阳师范学院数学与信息科学学院

摘要(Abstract)：

对于著名的伪Smarandache函数Z(n),Smarandache互反函数Sc(n),以及伪Smarandache对偶函数Z*(n),利用初等方法,借助同余方程理论,研究了包含函数Z(n),Sc(n)以及Z*(n)的两个方程解的问题,并给出了一些有趣的结果.

关键词(KeyWords)： 伪Smarandache函数;Smarandache互反函数;伪Smarandache对偶函数

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(10671155)

作者(Authors): 杨长恩;

参考文献(References)：

• [1]Smarandache F.Only Problems,Not Solutions[M].Chicago:Xiquan Publishing House,1993.
• [2]Perez M L.Florentin Smarandache Definitions,Solved and Unsolved Problems,Conjectures and Theoremsin Number Theory and Geometry[M].Chicago:Xiquan Publishing House,2000.
• [3]Zhang Wenpeng,Li Ling.Two problems related to the Smarandache function[J].Scientia Magna,2008,3(2):1-3.
• [4]Zhang Wenpeng.On two problems of the Smarandache function[J].Journal of Northwest University,2008,38(2):173-176.
• [5]Yang Mingshun.On a problem of the pseudo Smarandache function[J].Pure and Applied Mathematics,2008,24(3):449-451.
• [6]David Gorski.The pseudo Smarandache function[J].Smarandache Notions Journal,2002,13:140-149.
• [7]Murthy A.Smarandache reciprocal function and an elementary inequality[J].Smarandache Notions Journal,2000,11:312-315.
• [8]Jozsef Sandor.On certain arithmetic functions[J].Smarandache Notions Journal,2001,12:260-261.
• [9]Jozsef Sandor.On a dual of the Pseudo Smarandache fuction[J].Smarandache Notions Journal,2002,13:18-23.