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About Euler Function and Mean problem Smarandache function

Author: ZhaoQiuHong
Tutor: WangXiaoZuo；ZhangWenPeng
School: Northwestern University
Course: Basic mathematics
Keywords: Smarandache function Eluer function Convergence Positive integer solution Mean
CLC: O156.4
Type: Master's thesis
Year: 2011
Downloads: 44
Quote: 0
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Abstract


Number theory is called the crown in mathematics , where the arithmetic sequence about the nature and function of the mean of a very important issue . Romania home F. Smarandache number theory , published in 1991, \number theory problems , such as the famous Smarandache function s (n), many scholars have conducted research in this function , and got very interesting results , but with this function in a wide range of applications in various fields , it is more multi nature needs further exploration. based on this, on the basis of the previous theoretical Smarandache function on the nature of the Euler function and further studied , mainly including the following aspects : 1. research Smarandache dual function S ** (n) the nature discussed in the main application classification method, the positive integer n, the number of parity discuss some special power series and then the convergence and the limit of the special functions , card Mingman ( ? ) converges , and immutability equation 2 . the main equation solvability problem elementary methods applied research involving the Euler function and the Smarandache function equation .3 obtained by elementary methods , when q is any positive integer , p is a prime number, which was established following asymptotic formula D is computable constant.

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Number Theory > Analytic Number Theory
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