• Media type: E-Article
  • Title: p-adic polylogarithms and p-adic Hecke L-functions for totally real fields
  • Contributor: Bannai, Kenichi; Hagihara, Kei; Yamada, Kazuki; Yamamoto, Shuji
  • Published: Walter de Gruyter GmbH, 2022
  • Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), 2022 (2022) 791, Seite 53-87
  • Language: English
  • DOI: 10.1515/crelle-2022-0040
  • ISSN: 0075-4102; 1435-5345
  • Origination:
  • Footnote:
  • Description: Abstract The purpose of this article is to newly define the p-adic polylogarithmas an equivariant class in the cohomology of a certain infinite disjoint union of algebraic toriassociated to a totally real field.We will then express the special values of p-adic L-functions interpolatingnonpositive values of Hecke L-functions of the totally real field in terms ofspecial values of these p-adic polylogarithms.