Finite and \'etale polylogarithms
  We show an explicit formula relating \'etale polylogarithms introduced by Wojtkowiak and finite polylogarithms introduced by Elbaz-Vincent and Gangl. This formula is an \'etale analog of Besser's formula relating Coleman's $p$-adic polylogarithms and the finite polylogarithms. 
Kenji Sakugawa, Shin-ichiro Seki
math.NT