The 10^22-nd zero of the Riemann zeta function



                           A. M. Odlyzko

                         AT&T Labs - Research

                         amo@research.att.com




Some recent and ongoing computations of zeros of the Riemann zeta 
function are described.  They include the computation of 10 billion 
zeros near zero number 10^22.  These computations not only verify 
the Riemann Hypothesis for those zeros, but provide evidence for 
additional conjectures that relate these zeros to eigenvalues of 
random matrices.