论文标题
$ p $ - adic polyogarithms和$ p $ -adic hecke $ l $ - 完全真实领域
$p$-adic Polylogarithms and $p$-adic Hecke $L$-functions for Totally Real Fields
论文作者
论文摘要
本文的目的是新定义$ p $ -Adic Polyogarithm作为与完全真实领域相关的代数托里的某种无限分离结合的同类阶级。然后，就这些$ p $ -Adic-Adic Polygarithms的特殊值而言，我们将表达$ p $ adiC $ l $ functions插值hecke $ l $ functions的非阳性值。
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.
