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Scientia Magna : An International Journal : Volume 2, No. 3, 2006

By Xi'an, Shaanxi

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Title: Scientia Magna : An International Journal : Volume 2, No. 3, 2006  
Author: Xi'an, Shaanxi
Volume: Volume 2, No. 3, 2006
Language: English
Subject: Non Fiction, Science, Algebra
Collections: Mathematics, Algebra, Science Fiction Collection, Arithmetic, Classical Mechanics, Psychology, Sociology, Philosophy, Physics, Authors Community, Math, Periodicals: Journal and Magazine Collection (Historic and Rare), Social Psychology, Sociolinguistics, Cultural Studies, Anthropology, Literature, Most Popular Books in China, Favorites in India, Social Sciences
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Publisher: World Public Library
Member Page: Florentin Smarandache


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Xi'anitor, S. (Ed.). (2013). Scientia Magna : An International Journal : Volume 2, No. 3, 2006. Retrieved from

Scientia Magna is published annually in 200-300 pages per volume and 1,000 copies on topics such as mathematics, physics, philosophy, psychology, sociology, and linguistics.

x3. Some Observations Some observations about the Pseudo-Smarandache Function are given below : Remark 3.1. Kashihara raised the following questions (see Problem 7 in [1]) : (1) Is there any integer n such that Z(n) > Z(n + 1) > Z(n + 2) > Z(n + 3)? (2) Is there any integer n such that Z(n) < Z(n + 1) < Z(n + 2) < Z(n + 3)? The following examples answer the questions in the affirmative:

Table of Contents
A. Majumdar : A note on the Pseudo-Smarandache function 1 S. Gupta : Primes in the Smarandache deconstructive sequence 26 S. Zhang and C. Chen : Recursion formulae for Riemann zeta function and Dirichlet series 31 A. Muktibodh : Smarandache semiquasi near-rings 41 J. Sandor : On exponentially harmonic numbers 44 T. Jayeo. la : Parastrophic invariance of Smarandache quasigroups 48 M. Karama : Perfect powers in Smarandache n-expressions 54 T. Jayeo. la : Palindromic permutations and generalized Smarandache palindromic permutations 65 J. Sandor : On certain inequalities involving the Smarandache function 78 A. Muktibodh : Sequences of pentagonal numbers 81 J. Gao : On the additive analogues of the simple function 88 W. Zhu : On the primitive numbers of power p 92 A. Vyawahare : Smarandache sums of products 96 N. Yuan : On the solutions of an equation involving the Smarandache dual function 104 H. Zhou : An in¯nite series involving the Smarandache power function SP(n) 109


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