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By Mr (e: K (n, De Koninck, J. -m. (-lvl-se) Tenenbaum and A Πk O


Sur la loi de répartition du k-ième facteur premier d’un entier. (French. French summary) [On the distribution law of the kth prime factor of an integer] Math. Proc. Cambridge Philos. Soc. 133 (2002), no. 2, 191–204. Let {pk(n)} ω(n) k=1 be the increasing sequence of distinct prime divisors of n (ω(n) is the number of distinct prime divisors of n). Denote by λ ∗ k (y) the density of the sequence {m: pk(n)> y}. In 1969 P. Erdős obtained that λ ∗ k(exp exp{k + z √ k}) = n≤x Ω(n)≤log 2 x

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Year: 2013
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