30 citations · 83 across the 22 of their papers we have counts for
10 papers · 1 filter
The Hodge Realization of the Polylogarithm and the Shintani Generating Class for Totally Real Fields
Kenichi Bannai, Hohto Bekki, Kei Hagihara +3
In this article, we construct the Hodge realization of the polylogarithm class in the equivariant Deligne-Beilinson cohomology of a certain algebraic torus associated to a totally…
-adic Polylogarithms and -adic Hecke -functions for Totally Real Fields
Kenichi Bannai, Kei Hagihara, Kazuki Yamada +1
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 associate…
Canonical Equivariant Cohomology Classes Generating Zeta Values of Totally Real Fields
Kenichi Bannai, Kei Hagihara, Kazuki Yamada +1
It is known that the special values at nonpositive integers of a Dirichlet -function may be expressed using the generalized Bernoulli numbers, which are defined by a canonical g…
-adic Beilinson conjecture for ordinary Hecke motives associated to imaginary quadratic fields
Kenichi Bannai, Guido Kings
The purpose of this article is to give an overview of the series of papers [BK1], [BK2] concerning the -adic Beilinson conjecture of motives associated to Hecke characters of an…
The Kronecker limit formulas via the distribution relation
Kenichi Bannai, Shinichi Kobayashi
In this paper, we give a proof of the classical Kronecker limit formulas using the distribution relation of the Eisenstein-Kronecker series. Using a similar idea, we then prove …
Integral structures on -adic Fourier theory
Kenichi Bannai, Shinichi Kobayashi
In this article, we give an explicit construction of the -adic Fourier transform by Schneider and Teitelbaum, which allows for the investigation of the integral property. As an…
On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves
Kenichi Bannai, Shinichi Kobayashi, Takeshi Tsuji
In this paper, we give an explicit description of the de Rham and p-adic polylogarithms for elliptic curves using the Kronecker theta function. We prove in particular that when the…
Algebraic theta functions and Eisenstein-Kronecker numbers
Kenichi Bannai, Shinichi Kobayashi
In this paper, we give an overview of our previous paper concerning the investigation of the algebraic and -adic properties of Eisenstein-Kronecker numbers using Mumford's theor…
p-adic elliptic polylogarithm, p-adic Eisenstein series and Katz measure
Kenichi Bannai, Guido Kings
The specializations of the motivic elliptic polylog are called motivic Eisenstein classes. For applications to special values of L-Functions, it is important to compute the realiza…
Algebraic theta functions and p-adic interpolation of Eisenstein-Kronecker numbers
Kenichi Bannai, Shinichi Kobayashi
We study the properties of Eisenstein-Kronecker numbers, which are related to special values of Hecke -function of imaginary quadratic fields. We prove that the generating funct…