30 citations · 83 across the 22 of their papers we have counts for
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math.NT2007★ 19 cited
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…
math.NT2007★ 7 cited
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…
math.NT2007
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…