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arXiv · 2606.07329

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

Fatma Çiçek·Alia Hamieh
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Abstract

We compute the twisted first and second moments of the shifted central values of the Rankin-Selberg $L$-functions given by $L\left(\frac12+\omega, f\otimes g\right)$ as $f$ varies over primitive forms of prime power level $p^\nu$ with $\nu \geq 3$. Here $\omega$ is a bounded shift and $g$ is a fixed primitive form of level relatively prime to $p$.

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Fatma Çiçek, Alia Hamieh. 2026-06-05. Twisted Moments of Rankin-Selberg $L$-functions in the Prime-Power Level Aspect. https://arxiv.org/abs/2606.07329

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