Improved bounds on number fields of small degree
Number Theory
2025-07-28 v4 Algebraic Geometry
Abstract
We study the number of degree number fields with discriminant bounded by . In this article, we improve an upper bound due to Schmidt on the number of such fields that was previously the best known upper bound for .
Keywords
Cite
@article{arxiv.2204.01651,
title = {Improved bounds on number fields of small degree},
author = {Theresa C. Anderson and Ayla Gafni and Kevin Hughes and Robert J. Lemke Oliver and David Lowry-Duda and Frank Thorne and Jiuya Wang and Ruixiang Zhang},
journal= {arXiv preprint arXiv:2204.01651},
year = {2025}
}
Comments
24 pages; official version for Discrete Analysis