A question of Bukh on sums of dilates
Giorgis Petridis (The University of Georgia)
Abstract: There exists a $p<3$ with the property that for all real numbers $K$ and every finite subset $A$ of a commutative group that satisfies $|A+A| \leq K |A|$, the dilate sum \[A+2 \cdot A = \{ a + b+b : a, b \in A\}\] has size at most $K^p |A|$. This answers a question of Bukh.
Joint work with Brandon Hanson.
number theory
Audience: researchers in the topic
Combinatorial and additive number theory (CANT 2021)
Series comments: This is the nineteenth in a series of annual workshops sponsored by the New York Number Theory Seminar on problems in combinatorial and additive number theory and related parts of mathematics.
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| Organizer: | Mel Nathanson* |
| *contact for this listing |