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Sets with more sums than differences

Melvyn B. Nathanson
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Abstract

Let A be a finite subset of the integers or, more generally, of any abelian group, written additively. The set A has "more sums than differences" if |A+A|>|A-A|. A set with this property is called an MSTD set. This paper gives explicit constructions of families of MSTD sets of integers.

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Melvyn B. Nathanson. 2006-08-10. Sets with more sums than differences. https://arxiv.org/abs/math/0608148

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