Selberg method and an additive problem in the theory of $L$-functions

In our talk, we shall demonstrate that the methods developed by Atle Selberg in the theory of $L$-functions reduce the most important problems on distribution of nontrivial zeros of $L$-functions to the solution of the additive problem with the coefficients of the given $L$-function. We shall discuss a problem on distribution of nontrivial zeros of $L$-functions from Selberg class as well as of their linear combinations.