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Involving the Smarandache function of the nature and mean problem

Author: QiXiaoJun
Tutor: ZhangWenPeng
School: Northwestern University
Course: Basic mathematics
Keywords: The Smarandache providers function Infinite series Asymptotic formula Mean Elementary methods
CLC: O156.4
Type: Master's thesis
Year: 2010
Downloads: 15
Quote: 0
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Abstract


The famous American Romanian mathematician Professor F. Smarandache in his \in-depth research , has also made a lot of research has important theoretical value at the same time , these unresolved problems greatly inspired lovers of number theory to their research interests . this article using the elementary and analytic methods to study the new Smarandache functions and sequences of nature , but also gives some identities and asymptotic formula . specifically, the main results of this paper include the following aspects : 1 . elementary method to study a Smarandache quotient function sequence { Q (n ) } infinite series of nature .2 elementary and analytic methods to study the relationship between a the Smarandache function epm (n) and the infinite series of functions RiemanZeta and gives an asymptotic formula .3 use classification thinking and analytic methods to study the mean problem contains Smarandache double factorial function SDF (n) , and an interesting asymptotic formula .

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