On the behavior of $p$-adic Euler $\ell$-functions

Min-Soo Kim

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arXiv · 1010.1981

On the behavior of $p$-adic Euler $\ell$-functions

Min-Soo Kim

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Abstract

In this paper we propose a construction of $p$-adic Euler $\ell$-function using Kubota-Leopoldt's approach and Washington's one. We also compute the derivative of $p$-adic Euler $\ell$-function at $s=0$ and the values of $p$-adic Euler $\ell$-function at positives integers.

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Min-Soo Kim. 2010-10-11. On the behavior of $p$-adic Euler $\ell$-functions. https://arxiv.org/abs/1010.1981

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