= Number Theory Seminar (2011-10-06): Computations of the Riemann zeta
function =
== Speaker ==
Jon Bober (University of Washington)
== 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. Mostly this will focus on an implementation of Ghaith
Hiary's $O(t^{1/3})$ method for computing $\zeta(1/2 + it)$ and
computations that Hiary and I have been running using it. Highlights
will include the $10^{32}$nd zero, values of $|\zeta(1/2 + it)|$
larger than 14000, and some record observations of irregularities in
the distribution of zeros.
--
William Stein
Professor of Mathematics
University of Washington
http://wstein.org