The $\chi$-part of the analytic class number formula, for global function fields
Number Theory
2012-06-05 v1
Abstract
Let F/k be a finite abelian extension of global function fields, totally split at a distinguished place \infty. We prove that a complex Gras conjecture holds for a suitable group of Stark units, and we derive a refined analytic class number formula.
Keywords
Cite
@article{arxiv.1103.0926,
title = {The $\chi$-part of the analytic class number formula, for global function fields},
author = {Stéphane Viguié},
journal= {arXiv preprint arXiv:1103.0926},
year = {2012}
}
Comments
10 pages