Algebraic theta functions and Eisenstein-Kronecker numbers

Abstract

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 Mumford's theory of algebraic theta functions.

13 pages, on algebraic number theory and related topics (conference at RIMS, Kyoto, 2006)

References in corpus (1)

• Algebraic theta functions and p-adic interpolation of Eisenstein-Kronecker numbers

Cited by in corpus (5)

• Algebraic theta functions and p-adic interpolation of Eisenstein-Kronecker numbers
• On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves
• $p$-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas
• Integral structures on $p$-adic Fourier theory
• The Kronecker limit formulas via the distribution relation