Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor
arXiv:1310.6057
Abstract
The aim of this paper is to give upper bounds for the Euclidean minima of abelian fields of odd prime conductor. In particular, these bounds imply Minkowski's conjecture for totally real number fields of conductor p^r, where p is an odd prime and r is at least 2.
To appear in Mathematische Annalen