Add to ORKGAbstract Let q ≥ 3 be a fixed positive integer, eq(n) denotes the largest exponent of power q which divides n. In this paper, we use the elementary method to study the properties of the sequence eq(n), and give some sharper asymptotic formulas for the mean value n≤x ekq (n)
Keywords: For any positive integer n, we define f(n) as a Smarandache multiplicative function, if f(...
Abstract The main purpose of this paper is using the elementary and the analytic methods to study th...
Abstract Let p be a prime, n be any positive integer, Sp(n) denotes the smallest integer m ∈ N+, whe...
ABSTRACT. Let p be a prime, n be any positive integer, a(n,p) denotes the power of p in the factoriz...
ABSTRACT: For any positive integer n, let a{n) and b{n) denote the inferior and superior k-th power ...
Let p be a prime, n be any fixed positive integer. Sp(n) denotes the smallest positive integer such ...
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 mean value properties of ...
Abstract Let p be a prime, n be any fixed positive integer. Sp(n) denotes the smallest positive inte...
Abstract For any positive integer n, the Smarandache reciprocal function Sc(n) is defined as the lar...
The excedent function, e(n)=σ(n)−2n, measures the amount by which the sum of the divisors of an inte...
The largest exponent of the prime powers function is investigated on the set of numbers of form one ...
Let p be a prime, n be any positive integer, a(n,p) denotes the power of p in the factorization of n...
We use the explicit formula of V. Shevelev for the best possible exponent α(m) in the error term of ...
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(...
Abstract The main purpose of this paper is using the elementary and the analytic methods to study th...
Abstract Let p be a prime, n be any positive integer, Sp(n) denotes the smallest integer m ∈ N+, whe...
ABSTRACT. Let p be a prime, n be any positive integer, a(n,p) denotes the power of p in the factoriz...
ABSTRACT: For any positive integer n, let a{n) and b{n) denote the inferior and superior k-th power ...
Let p be a prime, n be any fixed positive integer. Sp(n) denotes the smallest positive integer such ...
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 mean value properties of ...
Abstract Let p be a prime, n be any fixed positive integer. Sp(n) denotes the smallest positive inte...
Abstract For any positive integer n, the Smarandache reciprocal function Sc(n) is defined as the lar...
The excedent function, e(n)=σ(n)−2n, measures the amount by which the sum of the divisors of an inte...
The largest exponent of the prime powers function is investigated on the set of numbers of form one ...
Let p be a prime, n be any positive integer, a(n,p) denotes the power of p in the factorization of n...
We use the explicit formula of V. Shevelev for the best possible exponent α(m) in the error term of ...
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(...
Abstract The main purpose of this paper is using the elementary and the analytic methods to study th...
Abstract Let p be a prime, n be any positive integer, Sp(n) denotes the smallest integer m ∈ N+, whe...