Spatial statistics for lattice points on the sphere I: Individual\n results Article Swipe
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Jean Bourgain
,
Zeév Rudnick
,
Peter Sarnak
·
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1606.05880
· OA: W4300911566
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1606.05880
· OA: W4300911566
We study the spatial distribution of point sets on the sphere obtained from\nthe representation of a large integer as a sum of three integer squares. We\nexamine several statistics of these point sets, such as the electrostatic\npotential, Ripley's function, the variance of the number of points in random\nspherical caps, and the covering radius. Some of the results are conditional on\nthe Generalized Riemann Hypothesis.\n
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