English

On packing of Minkowski balls. I

Metric Geometry 2023-01-18 v4 Number Theory

Abstract

In this paper we prove that the optimal lattice packing of the Minkowski, Davis, and Chebyshev-Cohn balls is realized with respect to the sublattices of index two of the critical lattices of corresponding balls

Cite

@article{arxiv.2211.16873,
  title  = {On packing of Minkowski balls. I},
  author = {N. Glazunov},
  journal= {arXiv preprint arXiv:2211.16873},
  year   = {2023}
}

Comments

Comments: 10 pages, Theorem 2 is modified and its proof is given