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A Classification of Small MSTD Sets in Arbitrary Fields

Herrmann, Yorick
arXiv (All) · Papers
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number-theory
A finite set $A$ in an additive abelian group is a More Sums Than Differences (MSTD) set if $|A+A| > |A-A|$. We prove that no MSTD set of size $5$ exists in an additive abelian group. Using a computer program inspired by Hegarty, we then obtain classifications of MSTD sets of sizes $6$, $7$, $8$, an
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