2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75446Recently, the two variable $q$-$L$-functions which interpolate the generalized $q$-Bernoulli polynomials associated with $χ$ 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 $χ$ at negative integer and study its properties.5 pagesNumber Theory11S80, 11B68, 11M99text