Gaps between zeros of the Riemann zeta-function

Abstract:

The Riemann zeta-function is a ubiquitous, yet mysterious, function in number theory. The importance of its so-called nontrivial zeros stems from the relationship between the location of these zeros and the distribution of the primes. In fact, the famous Riemann Hypothesis arose from this connection. In this talk we will investigate the gaps between the “critical” nontrivial zeros of the Riemann zeta-function and provide a missing proof of an old result of Selberg.