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

Michał Dymowski

Source record

Source: arXiv

Published: Aug 28, 2026

arXiv: 2608.28249

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Source abstract

We prove a dimension-free count of lattice points in high-dimensional q\ell^q balls and spheres with small radii. Our result complements those already established for q=1,2q=1,2 by covering the whole range of integers q2q\ge 2.

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