Jeffrey D Vaaler
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On the number of lattice points in a ball
cm:11119 -
Communications in Mathematics,
June 5, 2023,
Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications)
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https://doi.org/10.46298/cm.11119On the number of lattice points in a ballArticle
Authors: Jeffrey D Vaaler
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Jeffrey D Vaaler
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.
Volume: Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications)
Published on: June 5, 2023
Accepted on: April 26, 2023
Submitted on: March 28, 2023
Keywords: Mathematics - Number Theory, 11H06, 11J25, 11P21