@article{1df2a6b7ce4e4c05abf563ce8b9483de,
title = "Spatial statistics for lattice points on the sphere I: Individual results",
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{\textquoteright}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 = "Ripley{\textquoteright}s functions, Spatial statistics, Sums of three squares",
author = "Jean Bourgain and Ze{\'e}v Rudnick and Peter Sarnak",
note = "Publisher Copyright: {\textcopyright} 2017 Iranian Mathematical Society.",
year = "2017",
month = aug,
language = "אנגלית",
volume = "43",
pages = "361--386",
journal = "Bulletin of the Iranian Mathematical Society",
issn = "1018-6301",
publisher = "Iranian Mathematical Society",
number = "4 Special Issue",
}