$p$-adic Polylogarithms and $p$-adic Hecke $L$-functions for Totally Real Fields
Number Theory
2023-03-07 v2 Algebraic Geometry
Abstract
The purpose of this article is to newly define the -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 -adic -functions interpolating nonpositive values of Hecke -functions of the totally real field in terms of special values of these -adic polylogarithms.
Cite
@article{arxiv.2003.08157,
title = {$p$-adic Polylogarithms and $p$-adic Hecke $L$-functions for Totally Real Fields},
author = {Kenichi Bannai and Kei Hagihara and Kazuki Yamada and Shuji Yamamoto},
journal= {arXiv preprint arXiv:2003.08157},
year = {2023}
}
Comments
34 pages, Added more explanations to make the aticle more readable