Add to ORKGAbstract For any positive integer n, we call an arithmetical function f(n) as the F.Smarandache multiplicative function if f(1) = 1, and if n> 1, n = pα11 p α2 2 · · · pαkk be the fractorization of n into prime powers, then f(n) = max 1≤i≤k {f(pαii)}. The main purpose of this paper is using the elementary methods to study the solutions of an equation involving the F.Smarandache multiplicative function, and give its all positive integer solutions
Given a positive integer n, let P(n) denote the largest prime factor of n and S(n) denote the smalle...
The number of divisors function d(n), is a classic function of number theory, having been defined ce...
The Ramanujan sum cn(a) is related to the Möbius function μ, since cn(a) = μ(n) whenever a, n∈ N are...
Keywords: For any positive integer n, we define f(n) as a Smarandache multiplicative function, if f(...
Abstract For any positive integer n, we define the Smarandache multiplicative function U(n) as follo...
For any positive integer n, let S(n) and Z(n) denote the Smarandache function and the pseudo Smarand...
Abstract For any positive integer n, we define the arithmetical function F (n) as F (1) = 0. If n&g...
Abstract For any positive integer n, let S(n) and Z(n) denote the Smarandache function and the pseud...
The main purpose of this paper is using elementary arithmetical functions to give some expressions o...
Abstract For any positive integer n, let Sp(n) denotes the Smarandache primitive function. The main ...
Abstract For any positive integer n, the famous F.Smarandache function S(n) is defined as the smalle...
Abstract The main purpose of this paper is using the elementary method to study the mean value prope...
The main purpose of this paper is using the elementary method to study the solutions of an equation,...
Abstract For any positive integer n, the Smarandache dual function S∗∗(n) is defined as S∗∗(n)
For any positive integer k let φ(k), σ(k), and τ(k) be the Euler function of k, the divisor sum func...
Given a positive integer n, let P(n) denote the largest prime factor of n and S(n) denote the smalle...
The number of divisors function d(n), is a classic function of number theory, having been defined ce...
The Ramanujan sum cn(a) is related to the Möbius function μ, since cn(a) = μ(n) whenever a, n∈ N are...
Keywords: For any positive integer n, we define f(n) as a Smarandache multiplicative function, if f(...
Abstract For any positive integer n, we define the Smarandache multiplicative function U(n) as follo...
For any positive integer n, let S(n) and Z(n) denote the Smarandache function and the pseudo Smarand...
Abstract For any positive integer n, we define the arithmetical function F (n) as F (1) = 0. If n&g...
Abstract For any positive integer n, let S(n) and Z(n) denote the Smarandache function and the pseud...
The main purpose of this paper is using elementary arithmetical functions to give some expressions o...
Abstract For any positive integer n, let Sp(n) denotes the Smarandache primitive function. The main ...
Abstract For any positive integer n, the famous F.Smarandache function S(n) is defined as the smalle...
Abstract The main purpose of this paper is using the elementary method to study the mean value prope...
The main purpose of this paper is using the elementary method to study the solutions of an equation,...
Abstract For any positive integer n, the Smarandache dual function S∗∗(n) is defined as S∗∗(n)
For any positive integer k let φ(k), σ(k), and τ(k) be the Euler function of k, the divisor sum func...
Given a positive integer n, let P(n) denote the largest prime factor of n and S(n) denote the smalle...
The number of divisors function d(n), is a classic function of number theory, having been defined ce...
The Ramanujan sum cn(a) is related to the Möbius function μ, since cn(a) = μ(n) whenever a, n∈ N are...