Level Reciprocity in the twisted second moment of Rankin-Selberg L-functions

Nickolas Andersen, Eren Mehmet Kiral

We prove an exact formula for the second moment of Rankin-Selberg $L$-functions $L(1/2,f\times g)$ twisted by ${\lambda }_f(p)$, where $g$ is a fixed holomorphic cusp form and $f$ is summe…