On <i>q</i>-analogs of zeta functions associated with a pair of <i>q</i>-analogs of Bernoulli numbers and polynomials

Abstract

In this paper, we use two dierent approaches to introduce q-analogs of Riemann's zeta function and prove that their values at even integers are related to the q-Bernoulli and q-Euler's numbers introduced by Ismail and Mansour [Analysis and Applications, 17(6) (2019), 853{895].