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Experimental Mathematics Seminar

Nontrivial zeros of the Riemann zeta function know a lot

Yuri Matiyasevich, Steklov Institute of Mathematics at St. Petersburg, Russia

Location: [password: The 20th Catalan number, alias (40)!/(20!*21!)
Date & time: Thursday, 14 December 2023 at 5:00PM - 6:00PM

Bernhard Riemann gave an exact formula for the number of primes below given bound via a particular sum over the zeros of zeta function. In the course of large scale computer calculations the speaker discovered new relationships between these zeros and prime numbers.