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arXiv · 0807.4008

The Kronecker limit formulas via the distribution relation

Kenichi Bannai·Shinichi Kobayashi
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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.

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Kenichi Bannai, Shinichi Kobayashi. 2008-07-25. The Kronecker limit formulas via the distribution relation. https://arxiv.org/abs/0807.4008

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