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arXiv · 0711.0589

Congruences between abelian pseudomeasures

Jürgen Ritter·Alfred Weiss
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Abstract

Following Deligne and Ribet (`Values of abelian $L$-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 $L$-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.

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Jürgen Ritter, Alfred Weiss. 2007-11-05. Congruences between abelian pseudomeasures. https://arxiv.org/abs/0711.0589

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