Seminars & Colloquia Calendar
Unique sum-free sets
Danny Scheinerman - Rutgers University
Location: GSL
Date & time: Wednesday, 13 February 2019 at 12:15PM - 1:15PM
| Abstract: | Call a subset A of an abelian group G unique sum free (USF) if every sum s in A+A is not uniquely represented. That is for every a and b in A there exists c and d in A with a+b=c+d and the sets {a,b} and {c,d} are different. For A in F_p we can ask how small a USF set can be. We will show a lower bound of Theta(log(p)) and an upper bound of Theta(log^2 p). Closing this gap is an open problem. We'll discuss some generalizations. |
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