# Finding and Counting MSTD Sets

@article{Iyer2014FindingAC,
title={Finding and Counting MSTD Sets},
author={Geoffrey Iyer and Oleg Lazarev and Steven J. Miller and Liyang Zhang},
journal={arXiv: Number Theory},
year={2014},
pages={79-98}
}
• Published 14 July 2011
• Mathematics
• arXiv: Number Theory
We review the basic theory of more sums than differences (MSTD) sets, specifically their existence, simple constructions of infinite families, the proof that a positive percentage of sets under the uniform binomial model are MSTD but not if the probability that each element is chosen tends to zero, and “explicit” constructions of large families of MSTD sets. We conclude with some new constructions and results of generalized MSTD sets, including among other items results on a positive percentage…
8 Citations

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In the course of constructing a large family of sets A, it is found that for any integer k there is an A such that, and it is shown that the minimum span of such a set is 30.

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