The 16-rank of ℚ()

Recently, a density result for the $16$ -rank of $Cl (ℚ (\sqrt{- p}))$ was established when $p$ varies among the prime numbers, assuming a short character sum conjecture. We prove the same density result unconditionally.

Keywords

arithmetic statistics, class groups

Mathematical Subject Classification 2010

Primary: 11R29

Secondary: 11N45, 11R45

Milestones

Received: 19 September 2018

Revised: 14 August 2019

Accepted: 12 September 2019

Published: 15 March 2020

Authors

Peter Koymans
Mathematisch Instituut Leiden University Leiden Netherlands

Vol. 14, No. 1, 2020

Peter Koymans

Abstract

Keywords

Mathematical Subject Classification 2010

Milestones

Authors