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

By Xi'an, Shaanxi

Book Id: WPLBN0002828568
Format Type: PDF eBook:
File Size: 2.16 MB
Reproduction Date: 8/7/2013

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:	Authors Community, Mathematics
Historic Publication Date:	2013
Publisher:	World Public Library

Member Page:	Florentin Smarandache
Citation APA MLA Chicago Xi'anitor, B. S. (Ed.). (2013). Scientia Magna : An International Journal : Volume 2, No. 3, 2006. Retrieved from http://www.gutenberg.us/

Description
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.

Excerpt
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