Abstract For any positive integer n, let S(n) and Z(n) denote the Smarandache function and the pseudo Smarandache function respectively. In this paper we prove that the equation S(n) = Z(n) has infinitely many positive integer solutions n
Abstract For any positive integer n, we call an arithmetical function f(n) as the F.Smarandache mult...
Abstract For any positive integer n, let φ(n) and S(n) be the Euler function and the Smaran-dache fu...
Abstract For any positive integer n, the Smarandache LCM dual function SL∗(n) is defined as the grea...
For any positive integer n, let S(n) and Z(n) denote the Smarandache function and the pseudo Smarand...
For any positive integer n, let Sen), Zen) denote the Smarandache function and the Pseudo-Smarandach...
Abstract For any positive integer n, let Sp(n) denotes the Smarandache primitive function. The main ...
There exists infinitely many n belongs to N such that S(n) = S(n - S(n)), where S is the Smarandache...
The main purpose of this paper is to study the solvability of some equations involving the pseudo Sm...
I intend to prove that equation hasn't always solutions and case that there are an infmite number of...
Studying the solvability of an equation involving the Pseudo Smarandache Square-free function, and p...
Abstract For any positive integer n, the famous pseudo Smarandache function Z(n) is defined as the s...
Abstract For any positive integer n, the famous Pseudo Smarandache function Z(n) is defined as the s...
Abstract This paper gives some results and observations related to the Pseudo-Smarandache function Z...
Abstract For any positive integer n, the Smarandache dual function S∗∗(n) is defined as S∗∗(n)
Abstract For any positive integer n, the famous F.Smarandache function S(n) is defined as the smalle...
Abstract For any positive integer n, we call an arithmetical function f(n) as the F.Smarandache mult...
Abstract For any positive integer n, let φ(n) and S(n) be the Euler function and the Smaran-dache fu...
Abstract For any positive integer n, the Smarandache LCM dual function SL∗(n) is defined as the grea...
For any positive integer n, let S(n) and Z(n) denote the Smarandache function and the pseudo Smarand...
For any positive integer n, let Sen), Zen) denote the Smarandache function and the Pseudo-Smarandach...
Abstract For any positive integer n, let Sp(n) denotes the Smarandache primitive function. The main ...
There exists infinitely many n belongs to N such that S(n) = S(n - S(n)), where S is the Smarandache...
The main purpose of this paper is to study the solvability of some equations involving the pseudo Sm...
I intend to prove that equation hasn't always solutions and case that there are an infmite number of...
Studying the solvability of an equation involving the Pseudo Smarandache Square-free function, and p...
Abstract For any positive integer n, the famous pseudo Smarandache function Z(n) is defined as the s...
Abstract For any positive integer n, the famous Pseudo Smarandache function Z(n) is defined as the s...
Abstract This paper gives some results and observations related to the Pseudo-Smarandache function Z...
Abstract For any positive integer n, the Smarandache dual function S∗∗(n) is defined as S∗∗(n)
Abstract For any positive integer n, the famous F.Smarandache function S(n) is defined as the smalle...
Abstract For any positive integer n, we call an arithmetical function f(n) as the F.Smarandache mult...
Abstract For any positive integer n, let φ(n) and S(n) be the Euler function and the Smaran-dache fu...
Abstract For any positive integer n, the Smarandache LCM dual function SL∗(n) is defined as the grea...