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arXiv · 1311.2865

The number of points from a random lattice that lie inside a ball

Samuel Holmin
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Abstract

We prove a sharp bound for the remainder term of the number of lattice points inside a ball, when averaging over a compact set of (not necessarily unimodular) lattices, in dimensions two and three. We also prove that such a bound cannot hold if one averages over the space of all lattices.

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Samuel Holmin. 2013-11-12. The number of points from a random lattice that lie inside a ball. https://arxiv.org/abs/1311.2865

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