The Kronecker limit formulas via the distribution relation

Abstract

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 $p$-adic analogues of the Kronecker limit formulas for the $p$-adic Eisenstein-Kronecker functions defined in our previous paper.

References in corpus (1)

• Algebraic theta functions and Eisenstein-Kronecker numbers