Gaps between zeros of the Riemann zeta-function


P25 (Room G02/03 in PEMS South Bldg 26)

Refreshments from 3:30pm

4.00pm to 5.00pm

The Riemann zeta-function is a ubiquitous, yet mysterious, function in number theory. The importance of its so-called nontrivial zeros stems is related to 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.

About the Speaker

William W. Elliott Assistant Research Professor at Duke University, North Carolina, USA, Dr Caroline Turnage-Butterbaugh's research interests lie in the fields of analytic and algebraic number theory.

She studies properties of L-functions (such as the Riemann zeta-function, Dedekind zeta-functions, Artin L-functions, and automorphic L-functions), their zeros, and class groups of number fields.

For more information visit her Duke University profile.