Sets with more sums than differences

Details Sets with more sums than differences Sets with more sums than differences

2006-08-06

arxiv.org/abs/math/0608148v2

Mathematics

Number Theory

This is a lecture delivered at the SIAM Conference on Discrete Mathematics in Victoria, British Columbia, on June 27, 2006. So

Scientific paper

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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