The Gauss Sphere Problem

Thursday, September 18, 2014 -
12:30pm to 1:30pm
The Gauss Sphere Problem is a long-open problem in analytic number theory concerning the number of lattice points in a sphere. In this talk I will discuss a variant of this problem: that of summing a polynomial over the lattice points in a sphere. We will use tools from Fourier analysis, exponential sums and modular forms, to sharpen our estimates step by step.
Fan Zheng
Princeton University
Event Location: 
Fine Hall 314