Localized factorizations of integers

Mathematics – Number Theory

Scientific paper

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37 pages. To appear in Proc. London Math. Soc. Stylistic changes

Scientific paper

10.1112/plms/pdp056

We determine the order of magnitude of H^{(k+1)}(x,\vec{y},2\vec{y}), the number of integers up to x that are divisible by a product d_1...d_k with y_i

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