The Investigation of the Discrete Universality of L-Functions of Elliptic Curves

In the paper, we prove discrete universality theorem in sense of weak convergence probability measures space analytic functions for L-functions elliptic curves. We consider an approximation by translations LE (s+imh) , where h > 0 is a fixed number, imaginary part complex variable take values from some set such as arithmetical progression. suppose that number chosen so exp{2πk/h } rational non-zero integer. The proof derivatives curves based on limit functions.