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On Sarkozy’s theorem for shifted primes and squares

Minerva Lectures

On Sarkozy’s theorem for shifted primes and squares

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Ben Green, University of Oxford
McDonnell Hall A01

Livestream: https://www.youtube.com/live/DlQK0EQV0iw

Talk 1:

What is the size of the largest subset of $\{1,2,\dots,N\}$ not containing two elements differing by a square? By a prime minus 1?

All three talks feature joint work with Mehtaab Sawhney.