NUMBER THEORY BEYOND THE RIEMANN HYPOTHESIS

Henryk Iwaniec, Department of Mathematics, Rutgers University, New Brunswick

Abstract. It is a perception of mathematicians that the Riemann Hypothesis is the Final Frontier of number theory. In my talk I will try to convince that there is a healthy life in analytic number theory with or without the Riemann hypothesis. I will discuss limitations of the RH and present some results which supercede the capability of the RH.