Lattices with exponentially large kissing numbers do exist
Number Theory
2025-09-09 v2 Algebraic Geometry
Abstract
This note corrects the paper \cite{ex}, where lattice sequences having exponentially large kissing numbers were constructed. However it was noted in \cite{dif} that the arguments in that paper are not sufficient. Here we correct the construction which leads to similar results, albeit with much smaller constants.
Keywords
Cite
@article{arxiv.2411.07371,
title = {Lattices with exponentially large kissing numbers do exist},
author = {Serge Vlăduţ},
journal= {arXiv preprint arXiv:2411.07371},
year = {2025}
}
Comments
Serious error which does not permit to conclude