English

Finite and \'etale polylogarithms

Number Theory 2016-10-04 v2

Abstract

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 pp-adic polylogarithms and the finite polylogarithms.

Cite

@article{arxiv.1603.05811,
  title  = {Finite and \'etale polylogarithms},
  author = {Kenji Sakugawa and Shin-ichiro Seki},
  journal= {arXiv preprint arXiv:1603.05811},
  year   = {2016}
}

Comments

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

R2 v1 2026-06-22T13:13:51.959Z