Let p be a prime, n be any fixed positive integer. Sp(n) denotes the smallest positive integer such that Sp(n)! is divisible by pn. In this paper, we study the mean value properties of Sp(n) for p, and give a sharp asymptotic formula for it
Abstract Let q ≥ 3 be a fixed positive integer, eq(n) denotes the largest exponent of power q which ...
Abstract The main purpose of this paper it to studied the mean value properties of th
Abstract For any positive integer n, the famous F.Smarandache function S(n) is defined as the smalle...
Abstract Let p be a prime, n be any fixed positive integer. Sp(n) denotes the smallest positive inte...
Abstract Let p be a prime, n be any positive integer, Sp(n) denotes the smallest integer m ∈ N+, whe...
Abstract For any positive integer n and prime p, let Sp(n) denotes the smallest positive integer m s...
ABSTRACT. Let p be a prime, n be any positive integer, a(n,p) denotes the power of p in the factoriz...
For any positive integer n, let Sp(n) denotes the smallest positive integer such that Sp(n)! is divi...
Abstract The main purpose of this paper is to study the arithmetical properties of the primitive num...
Abstract For any positive integer n, the Smarandache power function SP (n) is defined as the smalles...
Let p be a prime, n be any positive integer, a(n,p) denotes the power of p in the factorization of n...
For any positive integer n, the Smarandache power function SP(n) is defined as the smallest positive...
In this paper, we introduce a new arithmetic function r sp(n) which we called the simple divisor fun...
ABSTRACT: For any positive integer n, let a{n) and b{n) denote the inferior and superior k-th power ...
AbstractLet Ng={gn:1⩽n⩽N}, where g is a primitive root modulo an odd prime p, and let fg(m, H) denot...
Abstract Let q ≥ 3 be a fixed positive integer, eq(n) denotes the largest exponent of power q which ...
Abstract The main purpose of this paper it to studied the mean value properties of th
Abstract For any positive integer n, the famous F.Smarandache function S(n) is defined as the smalle...
Abstract Let p be a prime, n be any fixed positive integer. Sp(n) denotes the smallest positive inte...
Abstract Let p be a prime, n be any positive integer, Sp(n) denotes the smallest integer m ∈ N+, whe...
Abstract For any positive integer n and prime p, let Sp(n) denotes the smallest positive integer m s...
ABSTRACT. Let p be a prime, n be any positive integer, a(n,p) denotes the power of p in the factoriz...
For any positive integer n, let Sp(n) denotes the smallest positive integer such that Sp(n)! is divi...
Abstract The main purpose of this paper is to study the arithmetical properties of the primitive num...
Abstract For any positive integer n, the Smarandache power function SP (n) is defined as the smalles...
Let p be a prime, n be any positive integer, a(n,p) denotes the power of p in the factorization of n...
For any positive integer n, the Smarandache power function SP(n) is defined as the smallest positive...
In this paper, we introduce a new arithmetic function r sp(n) which we called the simple divisor fun...
ABSTRACT: For any positive integer n, let a{n) and b{n) denote the inferior and superior k-th power ...
AbstractLet Ng={gn:1⩽n⩽N}, where g is a primitive root modulo an odd prime p, and let fg(m, H) denot...
Abstract Let q ≥ 3 be a fixed positive integer, eq(n) denotes the largest exponent of power q which ...
Abstract The main purpose of this paper it to studied the mean value properties of th
Abstract For any positive integer n, the famous F.Smarandache function S(n) is defined as the smalle...
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