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Mean value of Piltz' function over integers free of large prime factors
Publications de l'Institut Mathématique (Beograd)
We use the saddle-point method (due to Hildebrand-Tenenbaum ) to study the asymptotic behaviour of P n6x,P (n)6y τ k (n) for any k > 0 fixed, where P (n) is the greatest prime factor of n and τ k is Piltz' function. We generalize all results in  , where the case k = 1 has been treated.doi:10.2298/pim0374037n fatcat:4dovw2am4vba5mzzuivccw44yq