Distribution of orders in number fields
Number Theory
2015-04-17 v2 Algebraic Geometry
Abstract
In this paper we study the distribution of orders of bounded discriminants in number fields. We give an asymptotic formula for the number of orders contained in the ring of integers of a quintic number field.
Keywords
Cite
@article{arxiv.1408.1374,
title = {Distribution of orders in number fields},
author = {Nathan Kaplan and Jake Marcinek and Ramin Takloo-Bighash},
journal= {arXiv preprint arXiv:1408.1374},
year = {2015}
}
Comments
82 pages. Revised to reflect referee comments. To appear in Research in the Mathematical Sciences. arXiv admin note: text overlap with arXiv:1008.2053