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Sets of sums and differences. (English) Zbl 0548.10038
Séminaire de théorie des nombres, Paris 1982-83, Prog. Math. 51, 267-273 (1984).
[For the entire collection see Zbl 0541.00003.]
This is a short survey about problems on sumsets and difference sets. The only new result is the construction of a set H of natural numbers which has $$O(x^{1/2+\epsilon})$$ elements up to x and which is sum- intersective, that is every set of positive density has two elements the sum of which belongs to H.

##### MSC:
 11B05 Density, gaps, topology 11B13 Additive bases, including sumsets 05B10 Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.)
##### Keywords:
survey; sumsets; difference sets; sum-intersective