Title of article
Spatial statistics for lattice points on the sphere I: Individual results
Author/Authors
Bourgain, J. no Affiliation , Rudnick, Z. no Affiliation , Sarnak, P. no Affiliation
Pages
26
From page
361
To page
386
Abstract
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.
Keywords
Sums of three squares , spatial statistics , Ripley's functions
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2017
Record number
2511380
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