In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this note we study the distribution of numbers with a minimum fixed prime factor with exponent greater than 1 in their prime factor-ization
AbstractWe investigate lower bounds for ω((sn)) − ω((rn)) that are independent of n. This difference...
In this paper we investigate the distribution moidulo 1 of the sequence of vectors (pα1,…,pα1), wher...
In this thesis we prove several different results about the number of primes represented by linear f...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this article we obtain some results on ...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this article we prove that almost the t...
We study the distribution of the positive integers n which are composite and whose average prime di...
Copyright c © 2013 Rafael Jakimczuk. This is an open access article distributed under the Creative C...
Let αk(n) be the number of prime factors with exponent k in the prime factorization of n. For exampl...
In this paper, we study the linear independence between the distribution of the number of prime fact...
AbstractFor any probability distribution D = {α(n)} on Z+, we define β(m) = ∑j=1∞ α(jm), the probabi...
Let Pr denote an almost-prime with at most r prime factors, counted according to multiplicity. In th...
International audienceA number is said to be y-friable if it has no prime factor greater than y. In ...
The distribution of the prime numbers has intrigued number theorists for centuries. As our understan...
AbstractIn this paper, we prove two results. The first theorem uses a paper of Kim (J. Number Theory...
AbstractIn this paper we study the distribution modulo 1 of the sequence of vectors (pα1, …, pαk), w...
AbstractWe investigate lower bounds for ω((sn)) − ω((rn)) that are independent of n. This difference...
In this paper we investigate the distribution moidulo 1 of the sequence of vectors (pα1,…,pα1), wher...
In this thesis we prove several different results about the number of primes represented by linear f...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this article we obtain some results on ...
In memory of my sister Fedra Marina Jakimczuk (1970-2010) In this article we prove that almost the t...
We study the distribution of the positive integers n which are composite and whose average prime di...
Copyright c © 2013 Rafael Jakimczuk. This is an open access article distributed under the Creative C...
Let αk(n) be the number of prime factors with exponent k in the prime factorization of n. For exampl...
In this paper, we study the linear independence between the distribution of the number of prime fact...
AbstractFor any probability distribution D = {α(n)} on Z+, we define β(m) = ∑j=1∞ α(jm), the probabi...
Let Pr denote an almost-prime with at most r prime factors, counted according to multiplicity. In th...
International audienceA number is said to be y-friable if it has no prime factor greater than y. In ...
The distribution of the prime numbers has intrigued number theorists for centuries. As our understan...
AbstractIn this paper, we prove two results. The first theorem uses a paper of Kim (J. Number Theory...
AbstractIn this paper we study the distribution modulo 1 of the sequence of vectors (pα1, …, pαk), w...
AbstractWe investigate lower bounds for ω((sn)) − ω((rn)) that are independent of n. This difference...
In this paper we investigate the distribution moidulo 1 of the sequence of vectors (pα1,…,pα1), wher...
In this thesis we prove several different results about the number of primes represented by linear f...