A higher order p-adic class number formula

Iván Blanco-Chacón

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arXiv · 1208.0175

A higher order p-adic class number formula

Iván Blanco-Chacón

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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.

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Iván Blanco-Chacón. 2012-08-01. A higher order p-adic class number formula. https://arxiv.org/abs/1208.0175

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