# Zeros of the Riemann zeta-function on the critical line

## Arindam Roy, Rice University

The Riemann hypothesis asserts that all the non-trivial zeros of the Riemann zeta-function lie on the critical line $\sigma=1/2$. Even if this has never been proved or disproved, mathematicians succeeded in proving that a positive proportion of the zeros of the Riemann zeta-function are on the critical line. We discuss some recent progress on the above problem. This is a joint work with Nicolas Robles and Alexandru Zaharescu.

Tuesday, September 1st, at 4:00pm in HBH 227