Add to ORKGAbstract For any positive integer n, let am(n) denote the m-th power residue of n. In this paper, we use the elementary method to study the asymptotic properties of log (am(n!)), and give an interesting asymptotic formula for it
The main purpose of this paper is using the elementary method to study the mean value properties of ...
Let Sm(n) be the sum of the m-th powers of the prime factors in the prime factorization of n!. We pr...
Using A. Weil’s estimates the authors have given bounds for the largest prime P0 such that all prime...
Abstract The main purpose of this paper is to study the distribution properties ofm-power residues n...
Abstract Let p be a prime, n be any positive integer, Sp(n) denotes the smallest integer m ∈ N+, whe...
Abstract The main purpose of this paper is using the elementary and analytic methods to study the as...
The main purpose of this paper is to study the distribution properties ofm-power residues numbers, a...
Our goal is to prove the following asymptotic estimate for n!, called Stirling’s formula. Theorem 1....
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 to study the asymptotic property of the the cubic residu...
Abstract Let p be a prime, n be any fixed positive integer. Sp(n) denotes the smallest positive inte...
AbstractFor a fixed prime q, let eq(n) denote the order of q in the prime factorization of n!. For t...
Abstract For any positive integer n and prime p, let Sp(n) denotes the smallest positive integer m s...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) From the classical Cipolla’s asymptotic ex...
ABSTRACT. Let p be a prime, n be any positive integer, a(n,p) denotes the power of p in the factoriz...
The main purpose of this paper is using the elementary method to study the mean value properties of ...
Let Sm(n) be the sum of the m-th powers of the prime factors in the prime factorization of n!. We pr...
Using A. Weil’s estimates the authors have given bounds for the largest prime P0 such that all prime...
Abstract The main purpose of this paper is to study the distribution properties ofm-power residues n...
Abstract Let p be a prime, n be any positive integer, Sp(n) denotes the smallest integer m ∈ N+, whe...
Abstract The main purpose of this paper is using the elementary and analytic methods to study the as...
The main purpose of this paper is to study the distribution properties ofm-power residues numbers, a...
Our goal is to prove the following asymptotic estimate for n!, called Stirling’s formula. Theorem 1....
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 to study the asymptotic property of the the cubic residu...
Abstract Let p be a prime, n be any fixed positive integer. Sp(n) denotes the smallest positive inte...
AbstractFor a fixed prime q, let eq(n) denote the order of q in the prime factorization of n!. For t...
Abstract For any positive integer n and prime p, let Sp(n) denotes the smallest positive integer m s...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) From the classical Cipolla’s asymptotic ex...
ABSTRACT. Let p be a prime, n be any positive integer, a(n,p) denotes the power of p in the factoriz...
The main purpose of this paper is using the elementary method to study the mean value properties of ...
Let Sm(n) be the sum of the m-th powers of the prime factors in the prime factorization of n!. We pr...
Using A. Weil’s estimates the authors have given bounds for the largest prime P0 such that all prime...