Value-distribution of twisted automorphic \(L\) -functions (Q946144)

The paper is devoted to the limit theorem in the sense of the weakly convergent probability measures for the twisted with Dirichlet character automorphic \(L\)-functions, when the modulus of character increases. The obtained result valid only in the region of absolute convergence of the Dirichlet series for the twisted \(L\)-functions associated to the holomorphic normalized Hecke eigen cusp form of weight \(\kappa\) for the full modular group \(SL(2,\mathbb Z)\).