English

On the distribution of $\text{Cl}(K)[l^\infty]$ for degree $l$ cyclic fields

Number Theory 2018-12-18 v1

Abstract

Using a recent breakthrough of Alexander Smith, we prove that ll^\infty-class groups of cyclic degree ll fields have the distribution conjectured by Gerth under GRH.

Keywords

Cite

@article{arxiv.1812.06884,
  title  = {On the distribution of $\text{Cl}(K)[l^\infty]$ for degree $l$ cyclic fields},
  author = {Peter Koymans and Carlo Pagano},
  journal= {arXiv preprint arXiv:1812.06884},
  year   = {2018}
}