We show that the set of integers n for which n | (2n)!/(n!)2 has a positive asymptotic density, answering a question of Pomerance. The proof uses a mix of ideas from harmonic analysis and the anatomy of integers, and is joint work with Sergei Konyagin.
This video is part of the Webinar in Additive Combinatorics series, and this is their YouTube channel.
