PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)Vol. 74(88), pp. 37–56 (2003)
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PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.) Vol. 74(88), pp. 37–56 (2003) |
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MEAN VALUE OF PILTZ' FUNCTION OVER INTEGERS FREE OF LARGE PRIME FACTORSServat NyandwiDépartement de Mathématiques, Faculté des Sciences de Tunis, Université de Tunis II, 1060 Tunis, TunisieAbstract: We use the saddle-point method (due to Hildebrand–Tenenbaum [3]) to study the asymptotic behaviour of $\sum_{n\le x, P(n)\le y}\tau_k(n)$ for any $k>0$ fixed, where $P(n)$ is the greatest prime factor of $n$ and $\tau_k$ is Piltz' function. We generalize all results in [3], where the case $k=1$ has been treated. Classification (MSC2000): 11N25 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 21 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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