A short proof of Minkowski's second theorem and its application to some open questions
Number Theory
2016-09-29 v2
Abstract
In this paper we present a surprisingly short proof of Minkowski's second theorem. The author hopes there is no mistake in it, though the argument seems to be too plain to contain one. Also, we apply the main construction of the proof to some problems concerning the anomaly of a convex body, the density of the densest lattice packing, lattice point enumerator, and Ehrhart polynomial.
Keywords
Cite
@article{arxiv.1609.08603,
title = {A short proof of Minkowski's second theorem and its application to some open questions},
author = {Oleg N. German},
journal= {arXiv preprint arXiv:1609.08603},
year = {2016}
}
Comments
The proof is not correct. There is a silly but crucial mistake in it