Lower Bounds for the Least Prime in Chebotarev
Number Theory
2019-12-11 v4
Abstract
In this paper we show there exists an infinite family of number fields , Galois over , for which the smallest prime of which splits completely in has size at least . This gives a converse to various upper bounds, which shows that they are best possible.
Cite
@article{arxiv.1810.09566,
title = {Lower Bounds for the Least Prime in Chebotarev},
author = {Andrew Fiori},
journal= {arXiv preprint arXiv:1810.09566},
year = {2019}
}