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

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.

arXiv comment16 pages

References in corpus (1)

• New q-Euler numbers and polynomials associated with p-adic q-integrals

Cited by in corpus (2)

• On $p$-adic Hurwitz-type Euler zeta functions
• On $p$-adic Euler $L$-functions