Counting $S_5$-fields with a power saving error term
Number Theory
2013-10-10 v2
Abstract
We show how the Selberg -sieve can be used to obtain power saving error terms in a wide class of counting problems which are tackled using geometry of numbers. Specifically, we give such an error term for the counting function of -quintic fields.
Cite
@article{arxiv.1310.1998,
title = {Counting $S_5$-fields with a power saving error term},
author = {Arul Shankar and Jacob Tsimerman},
journal= {arXiv preprint arXiv:1310.1998},
year = {2013}
}
Comments
7 pages