Non-abelian pseudomeasures and congruences between abelian Iwasawa L-functions
Number Theory
2008-03-12 v1
Abstract
The paper starts out from pseudomeasures (in the sense of Serre) which hold the arithmetic properties of the abelian -adic Artin -functions over totally real number fields. In order to generalize to non-abelian -adic -functions, these abelian pseudomeasures must satisfy congruences which are introduced but not yet known to be true. The relation to the ``equivariant main conjecture'' of Iwasawa theory is discussed.
Keywords
Cite
@article{arxiv.0711.0581,
title = {Non-abelian pseudomeasures and congruences between abelian Iwasawa L-functions},
author = {Jürgen Ritter and Alfred Weiss},
journal= {arXiv preprint arXiv:0711.0581},
year = {2008}
}