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

The 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.


Published in:
Mathematische Annalen, 357, 3, 1071-1089
Year:
2013
Publisher:
New York, Springer Verlag
ISSN:
0025-5831
Laboratories:




 Record created 2013-12-09, last modified 2018-09-13

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