PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.) Vol. 74(88), pp. 37–56 (2003) 

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 saddlepoint 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.
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