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Abstract Let f be a newform for the group ₀ (q) and χd be a primitive quadratic character of conductor |d|. In this article, we prove an asymptotic for the second moment of the derivative of L (s, \, f ₈₃) at the central point 1/2, which was previously known under grand Riemann hypothesis (GRH) by Petrow 9.
Kumar et al. (Sat,) studied this question.