Arithmetically equivalent number fields have approximately the same successive minima
Number Theory
2023-03-21 v3
Abstract
Let and be arithmetically equivalent number fields, both of degree . We prove that and have the same successive minima, up to a constant depending only on . We give examples showing that one cannot expect equality.
Cite
@article{arxiv.2206.13855,
title = {Arithmetically equivalent number fields have approximately the same successive minima},
author = {Floris Vermeulen},
journal= {arXiv preprint arXiv:2206.13855},
year = {2023}
}
Comments
11 pages, accepted version