q-Euler Numbers and Polynomials Associated with Basic Zeta Functions
Number Theory
2008-07-18 v1
Abstract
In this paper we give the q-extension of Euler numbers which can be viewed as interpolating of the q-analogue of Euler zeta function ay negative integers, in the same way that Riemann zeta function interpolates Bernoulli numbers at negative integers. Finally we woll treat some identities of the q-extension of the euler numbers by using fermionic p-adic q-integration on Z_p.
Keywords
Cite
@article{arxiv.0807.2682,
title = {q-Euler Numbers and Polynomials Associated with Basic Zeta Functions},
author = {Taekyun Kim},
journal= {arXiv preprint arXiv:0807.2682},
year = {2008}
}
Comments
9 pages