3 years ago

-adic Polylogarithms and -adic Hecke -functions for Totally Real Fields. (arXiv:2003.08157v1 [math.NT])

Kenichi Bannai, Kei Hagihara, Kazuki Yamada, Shuji Yamamoto
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.

Publisher URL: http://arxiv.org/abs/2003.08157

DOI: arXiv:2003.08157v1

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