The mean number of 2-torsion elements in the class groups of $n$-monogenized cubic fields
Number Theory
2020-10-30 v1
Abstract
We prove that, on average, the monogenicity or -monogenicity of a cubic field has an altering effect on the behavior of the 2-torsion in its class group.
Cite
@article{arxiv.2010.15744,
title = {The mean number of 2-torsion elements in the class groups of $n$-monogenized cubic fields},
author = {Manjul Bhargava and Jonathan Hanke and Arul Shankar},
journal= {arXiv preprint arXiv:2010.15744},
year = {2020}
}
Comments
44 pages