We consider the higher integral moments for automorphic L-functions in short intervals and give a proof for the conjecture of Conrey et al. under Generalized Riemann Hypothesis for automorphic L-function. (C) 2016 Elsevier Inc. All rights reserved.
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St. Petersburg Department of the Steklov Mathematical Institute, St. PetersburgSt. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg