Lattice points in high-dimensional $\ell^q$ balls with small radii

Michał Dymowski

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arXiv · 2608.28249

Lattice points in high-dimensional $\ell^q$ balls with small radii

Michał Dymowski

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Abstract

We prove a dimension-free count of lattice points in high-dimensional $\ell^q$ balls and spheres with small radii. Our result complements those already established for $q=1,2$ by covering the whole range of integers $q\ge 2$.

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Michał Dymowski. 2026-08-28. Lattice points in high-dimensional $\ell^q$ balls with small radii. https://arxiv.org/abs/2608.28249

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