Number Theory Seminar: Jonathan Bober

Abstract:

I'll give a historical overview of computations of the zeta function on the critical line and then describe some recent computations from the past year or so. Mostly this will focus on an implementation of Ghaith Hiary's O(t1/3) method for computing ζ(1/2+it) and some computations that Hiary and I have run using it. Highlights will include the 1032nd zero, values of |ζ(1/2+it)| larger than 14000, and some record observations of irregularities in the distribution of zeros.