Recently added articles from Scientia Magna:
An equation involving the Smarandache function and its positive integer solutions.(Report)
Dec 01, 2008; ... [section] 1. Introduction For any positive integer n, the famous Smarandache function S(n) is defined as the smallest positive integer m such that n | m!. That is, S(n) = min{m : n | m!, m [member of] N}. From the definition of S(n) one can easily deduce that if [MATHEMATICAL ...
On the Smarandache kn-digital subsequence.(Report)
Dec 01, 2008; ... [section] 1. Introduction For any positive integer n and any fixed positive integer k [greater than or equal to] 2, the Smarandache kn-digital subsequence {[S.sub.k](n)} is defined as the numbers [S.sub.k](n), which can be partitioned into two groups such that the second is k ...
On the Pseudo-Smarandache-Squarefree function and Smarandache function.(Report)
Dec 01, 2008; ... [section] 1. Introduction and result For any positive integer n, the famous Smarandache function S(n) is defined as S(n) = Min{m : n|m!, m [member of] N}, Pseudo-Smarandache-Squarefree function [Z.sub.w](n) is defined as the smallest positive integer m such that n | [m.sup.n] ....
On the Smarandache prime-digital subsequence sequences.(Report)
Dec 01, 2008; ... [section] 1. Introduction and results For any positive integer n, the Smarandache Prime-Digital Subsequence (SPDS) is defined as follows: A positive integer n is an element of SPDS, if it satisfies the following properties: a) m is a prime. b) ...
On the mean value of [a.sup.2](n).(Report)
Dec 01, 2008; ... [section] 1. Introduction and main results Let a(n) denote the number of nonisomorphic Abelian groups with n elements. The mean value of a(n) was first studied by P. Erdos and G. Szekeres [1], who proved that [summation over (n [less than or equal to] x] a(n) = ...