Department of Mathematics
Texas A & M - Commerce
Student/Faculty Colloquium
Tuesday, March 6, 2007
Henderson 304, 2:00pm
Rick Kreminski,
Texas A & M - Commerce math department,
will speak on:
High precision computations for the Riemann zeta function
Abstract: Riemann's work has inspired a tremendous
amount of activity, by both
mathematicians and physicists, since his death at age 39 in 1866. A
student of Gauss, his legacy is impressive: despite publishing only
about a dozen papers, Riemann contributed what are now know as
Riemannian manifolds, Riemann surfaces, Riemann-integrability, the
Riemann mapping theorem, the Riemann sphere, the Riemann zeta function,
and the Riemann Hypothesis (among other things). In this talk we
discuss some work on high-precision values of constants associated to
the Riemann zeta function, the so-called generalized Euler or Stieltjes
constants, and related constants, and how they provide numerical
evidence in support of the Riemann Hypothesis. (Note that the Riemann
hypothesis is considered by many to be the #1 problem in mathematics -
and is one of the seven Clay Institute Millenium problems, each coming
with a $1,000,000 prize for whoever resolves the problem.)