Kenichi Bannai

Algebraic theta functions and the

We study the properties of Eisenstein-Kronecker numbers, which are related to special values of Hecke

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-adic interpolation of Eisenstein-Kronecker numbers

-function of imaginary quadratic fields. We prove that the generating function of these numbers is a reduced (normalized or canonical in some literature) theta function associated to the Poincare bundle of an elliptic curve. We introduce general methods to study the algebraic and

On the de Rham and p-adic realizations of the elliptic polylogarithm for CM elliptic curves

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p-ADIC EISENSTEIN-KRONECKER SERIES FOR CM ELLIPTIC CURVES AND THE KRONECKER LIMIT FORMULAS

-adic properties of reduced theta functions for CM abelian varieties. As a corollary, when the prime

Integral structures on p-adic fourier theory

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P-adic elliptic polylogarithm, p-adic eisenstein series and Katz measure

is ordinary, we give a new construction of the two-variable

Algebraic theta functions and Eisenstein-Kronecker numbers

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p-adic Beilinson conjecture for ordinary Hecke motives associated to imaginary quadratic fields

-adic measure interpolating special values of Hecke

Category of mixed plectic Hodge structures

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