30 citations · 68 across the 8 of their papers we have counts for
8 papers
Category of mixed plectic Hodge structures
Kenichi Bannai, Kei Hagihara, Shinichi Kobayashi +3
The purpose of this article is to investigate the properties of the category of mixed plectic Hodge structures defined by Nekovář and Scholl. We give an equivalent description of m…
Torsion points on Jacobian varieties via Anderson's p-adic soliton theory
Shinichi Kobayashi, Takao Yamazaki
Anderson introduced a -adic version of soliton theory. He then applied it to the Jacobian variety of a cyclic quotient of a Fermat curve and showed that torsion points of certai…
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…