P-adic polylogarithms and p-adic Hecke L-functions for totally real fields

Kenichi Bannai, Kei Hagihara, Kazuki Yamada, Shuji Yamamoto

Research output: Contribution to journalArticlepeer-review

Abstract

The purpose of this article is to newly define the p-adic polylogarithm as an equivariant class in the cohomology of a certain infinite disjoint union of algebraic tori associated to a totally real field. We will then express the special values of p-adic L-functions interpolating nonpositive values of Hecke L-functions of the totally real field in terms of special values of these p-adic polylogarithms.

Original languageEnglish
JournalJournal fur die Reine und Angewandte Mathematik
DOIs
Publication statusAccepted/In press - 2022

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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