| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594586 | Journal of Number Theory | 2010 | 15 Pages |
Abstract
In an abelian group G, a more sums than differences (MSTD) set is a subset A⊂G such that |A+A|>|A−A|. We provide asymptotics for the number of MSTD sets in finite abelian groups, extending previous results of Nathanson. The proof contains an application of a recently resolved conjecture of Alon and Kahn on the number of independent sets in a regular graph.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
