Polylogarithmic analogue of the Coleman-Ihara formula, I

Hiroaki Nakamura, Kenji Sakugawa, Zdzislaw Wojtkowiak

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…