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SUMMARY:Giorgis Petridis (The University of Georgia)
DTSTART:20200605T153000Z
DTEND:20200605T155500Z
DTSTAMP:20260423T011239Z
UID:CANT2020/62
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2020/62/
 ">A question of Bukh on sums of dilates</a>\nby Giorgis Petridis (The Univ
 ersity of Georgia) as part of Combinatorial and additive number theory (CA
 NT 2021)\n\n\nAbstract\nThere exists a $p<3$ with the property that for al
 l real numbers $K$ and every finite subset $A$ \nof a commutative group th
 at satisfies $|A+A| \\leq K |A|$\, the dilate sum \\[A+2 \\cdot A = \\{ a 
 + b+b : a\, b \\in A\\}\\] \nhas size at most $K^p |A|$. This answers a qu
 estion of Bukh. \n\nJoint work with Brandon Hanson.\n
LOCATION:https://researchseminars.org/talk/CANT2020/62/
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