A new approach to q-zeta function
We construct the new q-extension of Bernoulli numbers and polynomials in this paper. From these new q-extension of Bernoulli numbers and polynomials, the new q-extension of Bernoulli polynomials and generalized Bernoulli numbers attached to X will be also derived by p-adic invariant integral on Z(p). Finally we consider the q-zeta function and q-L-function which interpolate the new q-Bernoulli numbers and polynomials at negative integer.
bernoulli numbers and polynomials p-adic q-integrals zeta function