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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.

11B05 Density, gaps, topology
11B13 Additive bases, including sumsets
05B10 Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.)