The Kronecker limit formulas via the distribution relation
Number Theory
2008-07-28 v1
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 -adic analogues of the Kronecker limit formulas for the -adic Eisenstein-Kronecker functions defined in our previous paper.
Cite
@article{arxiv.0807.4008,
title = {The Kronecker limit formulas via the distribution relation},
author = {Kenichi Bannai and Shinichi Kobayashi},
journal= {arXiv preprint arXiv:0807.4008},
year = {2008}
}