A higher order p-adic class number formula
Number Theory
2012-08-02 v1
Abstract
We generalize a formula of Leopoldt which relates the p-adic regulator modulo p of a real abelian extension of Q with the value of the relative Dedekind zeta function at s=2-p. We use this generalization to give a statement on the non-vanishing modulo p of this relative zeta function at the point s=1 under a mild condition.
Cite
@article{arxiv.1208.0175,
title = {A higher order p-adic class number formula},
author = {Iván Blanco-Chacón},
journal= {arXiv preprint arXiv:1208.0175},
year = {2012}
}
Comments
6 pages