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arXiv · 2303.14905

On the number of lattice points in a ball

Jeffrey D Vaaler
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Abstract

We prove a fairly general inequality that estimates the number of lattice points in a ball of positive radius in general position in a Euclidean space. The bound is uniform over lattices induced by a matrix having a bounded operator norm.

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Jeffrey D Vaaler. 2023-05-25. On the number of lattice points in a ball. https://doi.org/10.46298/cm.11119

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