Twisted Moments of Rankin-Selberg $L$-functions in the Prime-Power Level Aspect

Fatma Çiçek, Alia Hamieh

We compute the twisted first and second moments of the shifted central values of the Rankin-Selberg $L$-functions given by $L\left(\frac{1}{2}+\omega ,f\otimes g\right)$ as $f$ varies over…