Math Graduate Student Seminar

The integers which are sums of two or three squares (n = x^2 + y^2 or n = x^2 + y^2 + z^2) can be considered from a geometric point of view as the points (x, y) or (x, y, z) lying on a circle or the surface of a 2-sphere of radius √n, respectively. We will talk about the distribution of such points and how these questions relate to L-functions.