PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)Vol. 76(90), pp. 89–99 (2004)
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PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.) Vol. 76(90), pp. 89–99 (2004) |
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THE DISTRIBUTION OFINTEGERS $n$ DIVISIBLE BY $l^{\omega(n)}$F. Luca amd A. SankaranarayananInstituto de Matematicas UNAM, Campus Morelia, Ap Postal 61-3 (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
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