Additive properties of multiplicatively defined sets
Chi Hoi Yip (Hong Kong University of Science and Technology, Hong Kong)
| Sat Jul 18, 14:30-14:55 (8 days from now) | |
| Lecture held in Science Center in the CUNY Graduate Center (4th floor). |
Abstract: Understanding the additive structure of multiplicatively defined sets, including 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 interactions. Joint work with Ernie Croot and Junzhe Mao.
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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