Identities of symmetry for qq-Bernoulli polynomials

In this paper, we derive eight basic identities of symmetry in three variables related to qq-Bernoulli polynomials and the qq-analogue of power sums. These and most of their corollaries are new, since there have been results only concerning identities of symmetry in two variables. These abundant symmetries shed new light even on the existing identities so as to yield some further interesting ones. The derivations of the identities are based on the pp-adic integral expression of the generating function for the qq-Bernoulli polynomials and the quotient of integrals that can be expressed as the exponential generating function for the qq-analogue of power sums.