Hybrid Subconvexity Bound for $Lleft(frac{1}{2},mathrm{Sym}^2 fotimes ight)$ via the Delta Method
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abstract
Let $P$ be a prime and $k$ be an even integer. Let $f$ be a full level holomorphic cusp form of weight $k$ and $ ho$ be a primitive level $P$ holomorphic cusp form with arbitrary nebentypus and fixed weight $kappa$. We prove a hybrid subconvexity bound for $Lleft(frac{1}{2},mathrm{Sym}^2 fotimes ho ight)$ when $P^{frac{1}{4}+eta}