The Kronecker limit formulas via the distribution relation

Mathematics – Number Theory

Scientific paper

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Scientific paper

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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