  We study the spatial distribution of point sets on the sphere obtained from
the representation of a large integer as a sum of three integer squares. We
examine several statistics of these point sets, such as the electrostatic
potential, Ripley's function, the variance of the number of points in random
spherical caps, and the covering radius. Some of the results are conditional on
the Generalized Riemann Hypothesis.

Number Theory;Classical Analysis and ODEs