Number theory seminar – University of Copenhagen

Number theory seminar

Speaker: Alexander Walker, Brown University
Title: Second Moment Results in the Gauss Circle Problem

Abstract: The Gauss circle problem is a classic problem in analytic number theory which concerns estimates for the number of lattice points enclosed by a circle of large radius.  Improved error bounds in this problem have traditionally come from refinements to the Hardy-Littlewood circle method.

In this talk, I will describe a new attack on the Gauss circle problem (and generalizations) based on the meromorphic properties of a type of Dirichlet series called a shifted convolution sum.  This talk incorporates joint work with Tom Hulse, Chan Ieong Kuan, and David Lowry-Duda.