Sums and Products with Smooth Numbers

Details Sums and Products with Smooth Numbers Sums and Products with Smooth Numbers

2010-10-16

arxiv.org/abs/1010.3322v1

Mathematics

Number Theory

12 pages

Scientific paper

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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