Geodesic
Mean Value of Piltz' Function Over Integers Free of Large Prime Factors
Publications de l'Institut Mathématique, _N_S_74 (2003) no. 88, p. 37 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
DOI : 10.2298/PIM0374037N
Classification : 11N25
Keywords: Piltz function 
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     title = {Mean {Value} of {Piltz'} {Function} {Over} {Integers} {Free} of {Large} {Prime} {Factors}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {37 },
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Servat Nyandwi. Mean Value of Piltz' Function Over Integers Free of Large Prime Factors. Publications de l'Institut Mathématique, _N_S_74 (2003) no. 88, p. 37 . doi : 10.2298/PIM0374037N. http://geodesic.mathdoc.fr/articles/10.2298/PIM0374037N/

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