SPEAKER: Daniel Bump
TITLE: Automorphic Summation Formulae Moments of the Riemann Zeta Function.
ABSTRACT: This talk will be joint work with Jennifer Beineke. We will review an unexplained parallel between the asymptotics of the 2n-th moment of zeta, conjectured by Conrey, Farmer, Keating, Rubinstein and Snaith and the constant term of an Eisenstein series on GL(2n). When n=1, an explanation for this phenomenon can be found in the summation formula of Voronoi-Oppenheim. A generalization of the Oppenheim summation formula to GL(2n) will then be given, for sums of divisor functions defined on lattices.