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

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

2010-10-11

arxiv.org/abs/1010.1981v1

Mathematics

Number Theory

16 pages

Scientific paper

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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