The universality of L-functions associated with new forms

We prove the universality theorem for L-functions of new parabolic forms. It concerns the uniform approximation of analytic functions by shifts of these L-functions. This theorem together with the Shimura-Taniyama conjecture (now proved) yields the universality of L-functions of non-singular elliptic curves over the field of rational numbers. The universality of L-functions implies that they are functionally independent