PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.) Vol. 76(90), pp. 89–99 (2004) 

THE DISTRIBUTION OFINTEGERS $n$ DIVISIBLE BY $l^{\omega(n)}$F. Luca amd A. SankaranarayananInstituto de Matematicas UNAM, Campus Morelia, Ap Postal 613 (Xangari) C.P. 58089 Morelia, Michoacan, Mexico and School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, IndiaAbstract: Let $\omega(n)$ denote the number of distinct prime factors of the positive integer $n$. We study the cardinality of the set $\{n\le x:l^{\omega(n)}\mid n\}$, where $l\ge 2$ is any arbitrary positive integer which is sufficiently small with respect to $x$. Classification (MSC2000): 11N25 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 17 Dec 2004. This page was last modified: 9 Feb 2005.
© 2004 Mathematical Institute of the Serbian Academy of Science and Arts
