Effective uniform approximation by $ L$-functionsin the Selberg class

Abstract

Recently, Garunkštis, Laurinc̆ikas, Matsumoto, J. & R. Steuding showed an effective universality-type theorem for the Riemann zeta-function by using an effective multidimensional denseness result of Voronin. We will generalize Voronin’s effective result and their theorem to the elements of the Selberg class satisfying some conditions.