| Abstract [eng] |
In 1989 A. Selberg introduced a class S of L-functions, which became an object of numeruos investingations. Roughtly speaking the functions of the class S satisfy 4 axioms: Ramanujan conjecture on the coefficiens a(m), axioms of analitic continuation, functional equation and Euler product. We consider a subclass, it satisfied an additional hypothesis - functions must have polinomial Euler product. The aim of this work is to prove a limit theorem in sense of weak convergence of probability measure in the space of meomorphic functions for L functions from the relevant subclass. |
