Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor

Bayer-Fluckiger, EvaMaciak, Piotr2013-12-092013-12-092013-12-09201310.1007/s00208-013-0932-3https://infoscience.epfl.ch/handle/20.500.14299/97667WOS:000326091200011The aim of this paper is to give upper bounds for the Euclidean minima of abelian fields of odd prime power conductor. In particular, these bounds imply Minkowski's conjecture for totally real number fields of conductor p(r), where p is an odd prime number and r >= 2.Upper bounds for the Euclidean minima of abelian fields of odd prime power conductortext::journal::journal article::research article