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SUMMARY:Peter Pal Pach (Renyi Institute)
DTSTART:20260713T140000Z
DTEND:20260713T142500Z
DTSTAMP:20260710T110918Z
UID:CANT2026/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2026/3/"
 >On the density of Kravitz sets</a>\nby Peter Pal Pach (Renyi Institute) a
 s part of Combinatorial and additive number theory seminar (CANT 2026)\n\n
 Lecture held in Science Center in the CUNY Graduate Center (4th floor).\n\
 nAbstract\nWe show that for a subset $A$ of the cyclic group of prime orde
 r $p>3$\,  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 $|A|\\le \\frac27\\\,p$. \nBesides comb
 inatorial arguments\,  we utilize a general technique involving linear pro
 gramming\, which may find further   applications in additive combinatorics
  in the future. \n Joint work with Vsevolod Lev\, Mate Matolcsi\, Daniel V
 arga.\n
LOCATION:https://researchseminars.org/talk/CANT2026/3/
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