Congruences between abelian pseudomeasures
Number Theory
2008-07-24 v1
Abstract
Following Deligne and Ribet (`Values of abelian -functions at negative integers over totally real fields.' Invent. Math. 59 (1980), 227-286) we prove that the `torsion congruences' (as introduced in our paper `Non-abelian pseudomeasures and congruences between abelian Iwasawa -functions.' To appear in Pure and Applied Mathematics Quarterly) hold and so reduce the `main conjecture' of equivariant Iwasawa theory to the integrality of the logarithmic pseudomeasure.
Keywords
Cite
@article{arxiv.0711.0589,
title = {Congruences between abelian pseudomeasures},
author = {Jürgen Ritter and Alfred Weiss},
journal= {arXiv preprint arXiv:0711.0589},
year = {2008}
}