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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Arithmetic Study Group: The generalized circle problem, mean value formulas and Brownian motion

Presented by Anders Sodergren, University of Copenhagen

8 March 2016 14:00 in CM 107

The generalized circle problem asks for the number of lattice points of an n-dimensional lattice inside a large Euclidean ball centered at the origin. In this talk I will discuss the generalized circle problem for a random lattice of large dimension n. In particular, I will present a result that relates the error term in the generalized circle problem to one-dimensional Brownian motion. The key ingredient in the discussion will be a new mean value formula over the space of lattices generalizing a formula due to C. A. Rogers. This is joint work with Andreas Strömbergsson.

Contact pankaj.vishe@durham.ac.uk or athanasios.bouganis@durham.ac.uk for more information