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arXiv:2303.03744v4 Announce Type: replace
Abstract: Let $g$ be a fixed holomorphic cusp form of arbitrary level and nebentypus. Let $\chi$ be a primitive character of prime-power modulus $q = p^{\gamma}$. In this paper, we prove the following hybrid Weyl-type subconvexity bound
\begin{align*}
L (1/2 + it, g \otimes \chi) \ll_{g, p, \varepsilon} ( (1+|t|) q )^{1/3+ \varepsilon}
\end{align*}
for any $\varepsilon > 0$.
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