Mathematicians clear hurdle in quest to decode primes

14.01.2022 |D-MATH in the Media

Paul Nelson has solved the subconvexity problem, bringing mathematicians one step closer to understanding the Riemann hypothesis and the distribution of prime numbers.

It’s been 162 years since Bernhard Riemann posed a seminal question about the distribution of prime numbers. Despite their best efforts, mathematicians have made very little progress on the Riemann hypothesis. But they have managed to make headway on simpler related problems.

In a paper posted in September,Paul Nelsonof the Institute for Advanced Study has solved the subconvexity problem, a kind of lighter-weight version of Riemann’s question. The proof is a significant achievement on its own and teases the possibility that even greater discoveries related to prime numbers may be in store.

Read full article inQuanta Magazine

Paul Nelson

Paul Nelson was an assistant professor at the Department from August 2014 to July 2021. Since September 2021, he has been von Neumann Fellow at the Institute for Advanced Study in Princeton.

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