Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593893 | Journal of Number Theory | 2014 | 38 Pages |
Abstract
Let K/kK/k be an abelian extension of number fields. The Brumer–Stark conjecture predicts that a group ring element constructed from special values of L -functions associated to K/kK/k annihilates the ideal class group of K. Moreover it specifies that the generators obtained have special properties. The aim of this article is to state and study a generalization of this conjecture to non-abelian Galois extensions that is, in spirit, very similar to the original conjecture.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gaelle Dejou, Xavier-François Roblot,