Local statistics of lattice points on the sphere

Details Local statistics of lattice points on the sphere Local statistics of lattice points on the sphere

2012-03-31

arxiv.org/abs/1204.0134v1

Mathematics

Number Theory

2 figures

Scientific paper

We study the spatial distribution of the representation of a large integer as
a sum of three squares, on the small and critical scale as well as their
electrostatic energy. The main results announced give strong evidence to the
thesis that the solutions behave randomly. This is in sharp contrast to what
happens with sums of two or four or more squares

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