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Your search keyword '"Functions -- Analysis -- Research"' showing total 6 results
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6 results on '"Functions -- Analysis -- Research"'

1. On the solvability of an equation involving the Smarandache function and Euler function

Author

Duan, Weiguo and Xue, Yanrong

Subjects
Number theory -- Research -- Analysis, e (Number) -- Analysis -- Research, Functional equations -- Analysis -- Research, Functions -- Analysis -- Research, High technology industry, Business, international, Law
Abstract

Abstract For any positive integer n, let φ (n) and S(n) be the Euler function and the Smarandache function respectively. In this paper, we use the properties and the curve [...]

Published
2008

2. On the Smarandache function and the Fermat number

Author

Wang, Jinrui

Subjects
Number theory -- Research -- Analysis, Functional equations -- Analysis -- Research, Functions -- Analysis -- Research, High technology industry, Business, international, Law
Abstract

Abstract For any positive integer n, the famous F.Smarandache function S(n) is defined as the smallest positive integer m such that n j m!. That is, S(n) = minfm : [...]

Published
2008

3. On an equation of the Smarandache function

Author

Cai, Lixiang

Subjects
Number theory -- Research -- Analysis, Functional equations -- Analysis -- Research, Functions -- Analysis -- Research, High technology industry, Business, international, Law
Abstract

Abstract For any positive integer n, let S(n) denotes the Smarandache function. The main purpose of this paper is using the elementary method to study the solvability of the equation [...]

Published
2008

4. Two problems related to the Smarandache function

Author

Zhang, Wenpeng and Li, Ling

Subjects
Number theory -- Research -- Analysis, Functional equations -- Analysis -- Research, Functions -- Analysis -- Research, High technology industry, Business, international, Law
Abstract

Abstract For any positive integer n, the famous pseudo Smarandache function Z(n) is defined as the smallest positive integer m such that n | m(m + 1)/1. That is, Z(n) [...]

Published
2008

5. An equation related to the Smarandache function and its positive integer solutions

Author

Xiong, Wenjing

Subjects
Number theory -- Research -- Analysis, Functional equations -- Analysis -- Research, Functions -- Analysis -- Research, Numbers, Natural -- Analysis -- Research, High technology industry, Business, international, Law
Abstract

Abstract For any positive integer n, the famous F. Smarandache function S(n) is defined as the smallest positive integer m such that n j m!. That is, S(n) = minfm [...]

Published
2008

6. Functional family: mock theta mystery solved

Author

Klarreich, E.

Subjects
Functional equations -- Analysis -- Research, Functions -- Analysis -- Research, Science and technology, University of Wisconsin-Madison -- Officials and employees -- Research
Abstract

A pair of mathematicians has solved a problem that had tantalized numbertheory researchers for more than 8 decades. It is the so-called final problem of the legendary Indian mathematical genius [...]

Published
2007

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