On the density of Kravitz sets
Peter Pal Pach (Renyi Institute)
| Mon Jul 13, 14:00-14:25 (3 days from now) | |
| Lecture held in Science Center in the CUNY Graduate Center (4th floor). |
Abstract: We show that for a subset $A$ of the cyclic group of prime order $p>3$, if the sumset $A+A-2A=\{a_1+a_2-2a_3:\ a_1,a_2,a_3 \in A\}$ is not the whole group, then $|A|\le \frac27\,p$. Besides combinatorial arguments, we utilize a general technique involving linear programming, which may find further applications in additive combinatorics in the future. Joint work with Vsevolod Lev, Mate Matolcsi, Daniel Varga.
number theory
Audience: researchers in the topic
Combinatorial and additive number theory seminar (CANT 2026)
| Organizer: | Mel Nathanson* |
| *contact for this listing |
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