Roger Baker (Brigham Young University) A second moment bound for the Dedekind zeta function

Tue, Oct. 24 3pm (MATH 350)

Kempner

Peter May (University of Chicago) TBA

Tue, Oct. 24 4pm (MATH 350)

Topology

Peter May (UChicago) TBA

X

The Dedekind zeta function for a given number field K of degree n is a widely used generalization of the Riemann zeta function. We know rather precisely the second moment of the Riemann zeta function on the critical line but, at least for n>3, there seems to be no corresponding bound in the literature for the Dedekind zeta function, except the bound one can deduce trivially from a pointwise bound found independently by R.M. Kaufman and D.R. Heath-Brown. I describe joint work with Simon Rydin Myerson in which we go beyond this 'trivial' bound.