Note on the Euler q-zeta functions

We consider the q-analogue of the Euler zeta function which is defined byζq,E(s)=[2]q∑n=1∞(−1)nqns[n]qs,01. In this paper, we give the q-extensions of the Euler numbers which can be viewed as interpolating of the above q-analogue of Euler zeta function at negative integers, in the same way that Riemann zeta function interpolates Bernoulli numbers at negative integers. Also, we will treat some identities of the q-extensions of the Euler numbers by using fermionic p-adic q  -integration on ZpZp.