Moment of Derivatives of Quadratic Twists of Modular $L$-Functions

Abstract

We prove an asymptotic for the moment of derivatives of quadratic twists of two distinct modular $L$-functions. This was previously known conditionally on GRH by the work of Ian Petrow.

Fixed some formatting issues and typos. Modify some definitions and it is easier to keep track of the computations when bounding the error terms