Let E be a CM-elliptic curve over Q with good ordinary reduction at a prime p â‰¥ 5. The purpose of this paper is to construct the p-adic elliptic polylogarithm of E, following the method of A.â€¦ (More)

In this paper, we give an overview of our previous paper concerning the investigation of the algebraic and p-adic properties of Eisenstein-Kronecker numbers using Mumfordâ€™s theory of algebraic thetaâ€¦ (More)

We study the properties of Eisenstein-Kronecker numbers, which are related to special values of Hecke L-function of imaginary quadratic fields. We prove that the generating function of these numbersâ€¦ (More)

In these notes, we give an overview of our paper [BKT] which gives an explicit description of the de Rham and p-adic realizations of the elliptic polylogarithm, for a general elliptic curve definedâ€¦ (More)

In this paper, we give an explicit description of the complex and p-adic polylogarithms for elliptic curves using the Kronecker theta function. We prove in particular that when the elliptic curve hasâ€¦ (More)

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 elliptic curve hasâ€¦ (More)

The specializations of the motivic elliptic polylogarithm on the universal elliptic curve to the modular curve are referred to as Eisenstein classes. In this paper, we prove that the syntomicâ€¦ (More)

In this article, we study integral structures on p-adic Fourier theory by Schneider and Teitelbaum. As an application of our result, we give a certain integral basis of the space of K-locallyâ€¦ (More)

We consider binary classification problems using local features of objects. One of motivating applications is time-series classification, where features reflecting some local closeness measureâ€¦ (More)