The regulator dominates the rank
Number Theory
2022-01-10 v1
Abstract
After noticing that the regulator of a number field dominates the rank of its group of units, we bound from below the regulator of the Mordell-Weil group of elliptic curves over global function fields of characteristic . The lower bound is an increasing function of the rank and of the height.
Keywords
Cite
@article{arxiv.2201.02383,
title = {The regulator dominates the rank},
author = {Fabien Pazuki},
journal= {arXiv preprint arXiv:2201.02383},
year = {2022}
}