Finite and étale polylogarithms

Abstract

We show an explicit formula relating étale polylogarithms introduced by Wojtkowiak and finite polylogarithms introduced by Elbaz-Vincent and Gangl. This formula is an étale analog of Besser's formula relating Coleman's $p$-adic polylogarithms and the finite polylogarithms.

21 pages. arXiv admin note: text overlap with arXiv:1509.07653

References in corpus (1)

• Polylogarithmic analogue of the Coleman-Ihara formula, I