On an Unconditional Spectral Analog of Selberg's Result on S(t) for Even Hecke-Maass Cusp Forms

This paper establishes an unconditional asymptotic formula for the moments of S(t), a function related to the argument of L-functions associated with even Hecke-Maass cusp forms for SL2(Z), and proves the distribution of these values approaches a normal distribution as the parameter T tends to infinity.