$q$-Bernoulli Numbers and Polynomials Associated with Multiple $q$-Zeta Functions and Basic $L$-series

T. Kim, Y. Simsek, H. M. Srivastav

By using $q$-Volkenborn integration and uniform differentiable on $\mathbb{Z}$, we construct $p$-adic $q$-zeta functions. These functions interpolate the $q$-Bernoulli numbers…