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Pré-Publication, Document De Travail Année : 2016

Polylogarithmic analogue of the Coleman-Ihara formula, I

Résumé

The Coleman-Ihara formula expresses Soule's p-adic characters restricted to p-local Galois group as the Coates-Wiles homomorphism multiplied by p-adic L-values at positive integers. In this paper, we show an analogous formula that ℓ-adic polylogarithmic characters for ℓ=p restrict to the Coates-Wiles homomorphism multiplied by Coleman's p-adic polylogarithms at any roots of unity of order prime to p.
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Dates et versions

hal-01286727 , version 1 (11-03-2016)

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  • HAL Id : hal-01286727 , version 1

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Zdzislaw, Jozef Wojtkowiak, Nakamura Hiroaki, Kenji Sakugawa. Polylogarithmic analogue of the Coleman-Ihara formula, I. 2016. ⟨hal-01286727⟩
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