Thursday 25 Oct 2018NT Seminar: The generalized Gauss circle problem

Dr David Lowry-Duda - University of Warwick

H103 14:30-16:30


The Gauss circle problem concerns the discrepancy between the


number of lattice points contained in a circle centered at the origin, and


the area of that circle. This is one of the most studied problems in


analytic number theory. Less well known (and more enigmatic) is the


generalization to higher dimensions, which we'll call the generalized Gauss


sphere problem. In this talk, we'll discuss recent progress on


understanding second moments associated to the Gauss sphere problem and see


how this progress stems from ideas on modular forms.

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