Twisted second moment of modular L-functions to a fixed modulus
Abstract
We study asymptotically the twisted second moment of the family of modular L-functions to a fixed modulus. As an application, we establish sharp lower bounds for all real k ≥ 0 and sharp upper bounds for k in the range 0 ≤ k ≤ 1 for the 2k-th moment of these L-functions on the critical line.
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