On addition of two distinct sets of integers. (English) Zbl 0841.11008

Stanchescu, Yonutz V.

Acta Arith. 75, No. 2, 191-194 (1996).

Let \(A\) and \(B\) be two sets of integers and \(A+B\) their sumset. We obtain a symmetric lower bound for \(|A+B|\) and utilise it in order to estimate the length of \(A\) and \(B\) for a given value of \(|A+B|\). The obtained theorem sharpens the corresponding results of G. Freiman, V. F. Lev and P. Y. Smeliansky [Acta Arith. 70, No. 1, 85-91 (1995; Zbl 0817.11005)].

Reviewer: Y.Stanchescu (Tel-Aviv)

MSC:

11B13	Additive bases, including sumsets
11B83	Special sequences and polynomials

Keywords:

addition of sets of integers; sumset; symmetric lower bound

Citations:

Zbl 0817.11005