On the leading terms of Zeta isomorphisms and p-adic L-functions in non-commutative Iwasawa theory

David Burns; Otmar Venjakob

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On the leading terms of Zeta isomorphisms and p-adic L-functions in non-commutative Iwasawa theory

David Burns·Otmar Venjakob

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Abstract

We discuss the formalism of Iwasawa theory descent in the setting of the localized K_1-groups of Fukaya and Kato. We then prove interpolation formulas for the `leading terms' of the global Zeta isomorphisms that are associated to certain Tate motives and of the p-adic L-functions that are associated to certain critical motives.

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David Burns, Otmar Venjakob. 2005-11-28. On the leading terms of Zeta isomorphisms and p-adic L-functions in non-commutative Iwasawa theory. https://arxiv.org/abs/math/0511672

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