... q-analogue of the Riemann’s ζ-functi ons, the Hurwitzζ-functions, and the Dirichlet’s L-functions. We prove that the value of their functionsKim and Kim Advances in Difference Equations 2011, ... properties for the q-Bernoulli, Euler num-bers, and polynomials related to the bosonic and the fermionic p-adic integral on ℤp.In Section 3, we obtain the generating functions of the q-Bernoulli, ... ℤp, ℚp, and ℂpdenote the ring of p -adic integers, the field of p-adic numbers, and the completion of the algebraic closure of ℚp, respectively. Let | · |pbe the p-adic norm on ℚ with...