Moment of derivatives of L-functions for two distinct newforms

Abstract

We establish an unconditional result concerning the asymptotic formula for the moment of derivatives of $L$-functions $L(s,f\otimes {\chi }_{8d})L(s,g\otimes {\chi }_{8d})$ over quadratic twists, where $f$ and $g$ are distinct cuspidal newforms.

There is an issue with the argument presented in Section 6, particularly in the computation of $S_2$