A note on multiple Dirichlet's q-L--function
  Recently, the two variable $q$-$L$-functions which interpolate the generalized $q$-Bernoulli polynomials associated with $\chi$ are introduced and studied, cf. [2]. In this paper, we construct multiple Dirichlet's $q$-$L$-function which interpolates the generalized multiple $q$-Bernoulli numbers attached to $\chi $ at negative integer and study its properties. 
Taekyun Kim