Abstract [eng] |
A generalization of the universality theorem for the Riemann zeta-function In the master work, we give a generalization of the discrete universality theorem. The main result of the master work is to prove that a wide class of functions can be approximated by shifts of the Riemann zeta-function. Here the function has a continuous non-vanishing derivative on selected interval satisfying the estimate and the given sequence is uniformly distributed modulo 1. |