Add to ORKGLet αk(n) be the number of prime factors with exponent k in the prime factorization of n. For example, if n = 23.35.11.19.232 the
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this note we study the distribution of ...
This Report updates the tables of factorizations of a n \Sigma 1 for 13 a ! 100, previously publi...
Abstract. Rényi’s result on the density of integers whose prime factorizations have excess multipli...
AbstractLet p1,p2,… be the sequence of all primes in ascending order. The following result is proved...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this article we prove that almost the t...
AbstractWe investigate lower bounds for ω((sn)) − ω((rn)) that are independent of n. This difference...
In this article we examine the primes that appear in the prime fac-torization of almost all numbers ...
This property of prime numbers is based on the addition of a number of zeros between a prime number ...
For a fixed k ∈ N we consider a multiplicative basis in N such that every n ∈ N has the unique facto...
AbstractThe condition Σk<x|Σn<x (χ(n) − z)4Ω(n)n| = o(√logx), where Ω(n) stands for the number of pr...
AbstractFor a fixed prime q, let eq(n) denote the order of q in the prime factorization of n!. For t...
In memory of my sister Fedra Marina Jakimczuk (1970-2010). Let αm(n) be the sum of the reciprocal of...
Let d ≥ 1, k ≥ 2, n ≥ 1 and y ≥ 1 be integers with gcd(n, d) = 1. We write ∆ = ∆(n, d, k) = n(n+ ...
AbstractLet N be sufficiently large odd integer. It is proved that the equation N=n1+n2+n3 has solut...
AbstractIt is shown that, for anyk, there exist infinitely many positive integersnsuch that in the p...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this note we study the distribution of ...
This Report updates the tables of factorizations of a n \Sigma 1 for 13 a ! 100, previously publi...
Abstract. Rényi’s result on the density of integers whose prime factorizations have excess multipli...
AbstractLet p1,p2,… be the sequence of all primes in ascending order. The following result is proved...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this article we prove that almost the t...
AbstractWe investigate lower bounds for ω((sn)) − ω((rn)) that are independent of n. This difference...
In this article we examine the primes that appear in the prime fac-torization of almost all numbers ...
This property of prime numbers is based on the addition of a number of zeros between a prime number ...
For a fixed k ∈ N we consider a multiplicative basis in N such that every n ∈ N has the unique facto...
AbstractThe condition Σk<x|Σn<x (χ(n) − z)4Ω(n)n| = o(√logx), where Ω(n) stands for the number of pr...
AbstractFor a fixed prime q, let eq(n) denote the order of q in the prime factorization of n!. For t...
In memory of my sister Fedra Marina Jakimczuk (1970-2010). Let αm(n) be the sum of the reciprocal of...
Let d ≥ 1, k ≥ 2, n ≥ 1 and y ≥ 1 be integers with gcd(n, d) = 1. We write ∆ = ∆(n, d, k) = n(n+ ...
AbstractLet N be sufficiently large odd integer. It is proved that the equation N=n1+n2+n3 has solut...
AbstractIt is shown that, for anyk, there exist infinitely many positive integersnsuch that in the p...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this note we study the distribution of ...
This Report updates the tables of factorizations of a n \Sigma 1 for 13 a ! 100, previously publi...
Abstract. Rényi’s result on the density of integers whose prime factorizations have excess multipli...