On the mean square of the remainder for the Euclidean lattice point counting problem

Dubi Kelmer

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arXiv · 1512.06012

On the mean square of the remainder for the Euclidean lattice point counting problem

Dubi Kelmer

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Abstract

We give mean square bounds for the remainder in the lattice point counting problem, counting the number of lattice points in a large ball in $\mathbb{R}^d$, when averaged over families of shears of the lattice.

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Dubi Kelmer. 2015-12-18. On the mean square of the remainder for the Euclidean lattice point counting problem. https://arxiv.org/abs/1512.06012

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