Euclidean minima of algebraic number fields
Number Theory
2023-07-21 v1
Abstract
In this paper, we use some of our previous results to improve an upper bound of Bayer-Fluckiger, Borello and Jossen on the Euclidean minima of algebraic number fields. Our bound depends on the degree of the field, its signature, discriminant and the Hermite constant in dimension .
Keywords
Cite
@article{arxiv.2307.10880,
title = {Euclidean minima of algebraic number fields},
author = {Artūras Dubickas and Min Sha and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:2307.10880},
year = {2023}
}
Comments
11 pages