Abstract
Let S2(q) be the set of primitive forms in the space S2(Γ0(q)) of holomorpic Γ0(q)-cusp forms of weight 2. Let f ∈ S2(q) and let Lf(S) be the L-function of f(z). It is proved that the set {log Lf(1), f ∈ S2(q)} has a limit distribution function. The rate of convergence to this limit function is estimated. Bibliography: 10 titles.
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