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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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