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January 2017 Polylogarithmic analogue of the Coleman-Ihara formula, I
Hiroaki Nakamura, Kenji Sakugawa, Zdzisław Wojtkowiak
Osaka J. Math. 54(1): 55-74 (January 2017).

Abstract

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 $\ell$-adic polylogarithmic characters for $\ell=p$ restrict to the Coates-Wiles homomorphism multiplied by Coleman's $p$-adic polylogarithms at any roots of unity of order prime to $p$.

Citation

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Hiroaki Nakamura. Kenji Sakugawa. Zdzisław Wojtkowiak. "Polylogarithmic analogue of the Coleman-Ihara formula, I." Osaka J. Math. 54 (1) 55 - 74, January 2017.

Information

Published: January 2017
First available in Project Euclid: 3 March 2017

zbMATH: 06705680
MathSciNet: MR3619748

Subjects:
Primary: 11G55
Secondary: 11R18, 11S31, 14H30

Rights: Copyright © 2017 Osaka University and Osaka City University, Departments of Mathematics

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Vol.54 • No. 1 • January 2017
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