Hybrid Level Aspect Subconvexity for $GL(2)\times GL(1)$ Rankin-Selberg $L$-Functions

Keshav Aggarwal, Yeongseong Jo, Kevin Nowland

Let $M$ be a squarefree positive integer and $P$ a prime number coprime to $M$ such that $P\sim M^{\eta }$ with $0<\eta <2/5$. We simplify the proof of subconvexity bounds for $L(\frac{1}…