Add to ORKGAbstract For any positive integer n, we define the arithmetical function G(n) as G(1) = 0. If n> 1 and n = pα11 p α2 2 · · · pαkk be the prime power factorization of n, then G(n) = α1p1 + α2 p2 + · · · + αk pk. The main purpose of this paper is using the elementary method and the prime distribution theory to study the mean value properties of G(n) in Smarandache divisor product sequences {pd(n)} and {qd(n)}, and give two sharper asymptotic formulae for them
Abstract For any positive integer n, the Smarandache power function SP (n) is defined as the smalles...
Given a positive integer n, let P(n) denote the largest prime factor of n and S(n) denote the smalle...
Abstract For any positive integer n, let Sdf(n) denotes the Smarandance double factorial function, t...
The main purpose of this paper is using the elementary method and the prime distribution theory to s...
Abstract For any positive integer n, we define the arithmetical function F (n) as F (1) = 0. If n&g...
Let n be any positive integer, Pd(n) denotes the product of all positive divisors of n. The main pur...
Abstract Let n be any positive integer, Pd(n) denotes the product of all positive divisors of n. The...
Let n be any positive integer, Pd(n) denotes the product of all positive divisors of n. The main pur...
Keywords: For any positive integer n, we define f(n) as a Smarandache multiplicative function, if f(...
Let I s consider the function d(i) = number of divisors of the positive integer number i. We have fo...
ABSTRACT: In [1] we define SMARANDACHE FACTOR PARTITION FUNCTION (SFP) , as follows: Let CX1, CX2, C...
This paper gives some properties of the Smarandache prime product sequence, (Pn) , definded by where...
In this paper we completely determine the primes in the Smarandache power product sequences of the s...
The main purpose of this paper is using elementary arithmetical functions to give some expressions o...
Abstract For any positive integer n, we define the Smarandache multiplicative function U(n) as follo...
Abstract For any positive integer n, the Smarandache power function SP (n) is defined as the smalles...
Given a positive integer n, let P(n) denote the largest prime factor of n and S(n) denote the smalle...
Abstract For any positive integer n, let Sdf(n) denotes the Smarandance double factorial function, t...
The main purpose of this paper is using the elementary method and the prime distribution theory to s...
Abstract For any positive integer n, we define the arithmetical function F (n) as F (1) = 0. If n&g...
Let n be any positive integer, Pd(n) denotes the product of all positive divisors of n. The main pur...
Abstract Let n be any positive integer, Pd(n) denotes the product of all positive divisors of n. The...
Let n be any positive integer, Pd(n) denotes the product of all positive divisors of n. The main pur...
Keywords: For any positive integer n, we define f(n) as a Smarandache multiplicative function, if f(...
Let I s consider the function d(i) = number of divisors of the positive integer number i. We have fo...
ABSTRACT: In [1] we define SMARANDACHE FACTOR PARTITION FUNCTION (SFP) , as follows: Let CX1, CX2, C...
This paper gives some properties of the Smarandache prime product sequence, (Pn) , definded by where...
In this paper we completely determine the primes in the Smarandache power product sequences of the s...
The main purpose of this paper is using elementary arithmetical functions to give some expressions o...
Abstract For any positive integer n, we define the Smarandache multiplicative function U(n) as follo...
Abstract For any positive integer n, the Smarandache power function SP (n) is defined as the smalles...
Given a positive integer n, let P(n) denote the largest prime factor of n and S(n) denote the smalle...
Abstract For any positive integer n, let Sdf(n) denotes the Smarandance double factorial function, t...