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arxiv: 0807.4008 · v1 · submitted 2008-07-25 · 🧮 math.NT

The Kronecker limit formulas via the distribution relation

classification 🧮 math.NT
keywords formulaskroneckerlimitadicdistributioneisenstein-kroneckerrelationanalogues
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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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