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

Kenichi Bannai; Kei Hagihara; Kazuki Yamada; Shuji Yamamoto

doi:10.1515/crelle-2022-0040

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

Kenichi Bannai, Kei Hagihara, Kazuki Yamada, Shuji Yamamoto

数理科学科

研究成果: Article › 査読

抄録

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.

本文言語	English
ページ（範囲）	53-87
ページ数	35
ジャーナル	Journal fur die Reine und Angewandte Mathematik
巻	2022
号	791
DOI	https://doi.org/10.1515/crelle-2022-0040
出版ステータス	Published - 2022 10月 1

ASJC Scopus subject areas

数学 (全般)
応用数学

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10.1515/crelle-2022-0040

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AU - Hagihara, Kei

AU - Yamada, Kazuki

AU - Yamamoto, Shuji

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JF - Journal fur die Reine und Angewandte Mathematik

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

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