4 citations · 5 across the 4 of their papers we have counts for
4 papers
Finite and étale polylogarithms
Kenji Sakugawa, Shin-ichiro Seki
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…
On functional equations of finite multiple polylogarithms
Kenji Sakugawa, Shin-ichiro Seki
Recently, several people study finite multiple zeta values (FMZVs) and finite polylogarithms (FPs). In this paper, we introduce finite multiple polylogarithms (FMPs), which are nat…
Polylogarithmic analogue of the Coleman-Ihara formula, I
Hiroaki Nakamura, Kenji Sakugawa, Zdzislaw Wojtkowiak
The Coleman-Ihara formula expresses Soule's -adic characters restricted to -local Galois group as the Coates-Wiles homomorphism multiplied by -adic -values at positive…
Construction of Hurwitz Spaces and Application to the Regular Inverse Problem
Kenji Sakugawa
The author give a simple construction of Hurwitz spaces which is defined by Fried and Volklein, and generalize Hurwitz spaces. As a consequence of this construction, the author pro…