PreprintCC BY 4.0arXiv
Lattice points in high-dimensional ℓq balls with small radii
Abstract
We prove a dimension-free count of lattice points in high-dimensional ℓq balls and spheres with small radii. Our result complements those already established for q=1,2 by covering the whole range of integers q≥ 2.
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BibTeX
@misc{dymowski2026lattice,
title = {{Lattice points in high-dimensional $\ell^q$ balls with small radii}},
author = {Michał Dymowski},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28249},
eprint = {2608.28249},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28249},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Lattice points in high-dimensional ℓ^q balls with small radii
AU - Michał Dymowski
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28249
UR - https://arxiv.org/abs/2608.28249
AB - We prove a dimension-free count of lattice points in high-dimensional ℓ^q balls and spheres with small radii. Our result complements those already established for q=1,2 by covering the whole range of integers q≥ 2.
ER -