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SUMMARY:Chi Hoi Yip (Hong Kong University of Science and Technology\, Hong
  Kong)
DTSTART:20260718T143000Z
DTEND:20260718T145500Z
DTSTAMP:20260710T111709Z
UID:CANT2026/81
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2026/81/
 ">Additive properties of multiplicatively defined sets</a>\nby Chi Hoi Yip
  (Hong Kong University of Science and Technology\, Hong Kong) as part of C
 ombinatorial and additive number theory seminar (CANT 2026)\n\nLecture hel
 d in Science Center in the CUNY Graduate Center (4th floor).\n\nAbstract\n
 Understanding the additive structure of multiplicatively defined sets\, in
 cluding the primes\, perfect squares\, perfect powers\, powerful numbers\,
  and smooth numbers\, remains a fundamental open challenge. In this talk\,
  I will talk about some recent progress on related results. In particular\
 , I will discuss arithmetic progressions\, sumsets\, and Hilbert cubes in 
 some well-studied multiplicatively defined sets\, as well as their interac
 tions. Joint work with Ernie Croot and Junzhe Mao.\n
LOCATION:https://researchseminars.org/talk/CANT2026/81/
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