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arxiv: 1010.3322 · v1 · pith:YXJL7PYTnew · submitted 2010-10-16 · 🧮 math.NT · math.CO

Sums and Products with Smooth Numbers

classification 🧮 math.NT math.CO
keywords casecdotequalestimateexceedingfactorsfreeintegers
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We estimate the sizes of the sumset A + A and the productset A $\cdot$ A in the special case that A = S (x, y), the set of positive integers n less than or equal to x, free of prime factors exceeding y.

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