2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165112In 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.9 pagesNumber Theory11B68; 11S80text