Abstract
Let $\mathfrak{q}>2$ be a prime number, $\chi$ a primitive Dirichletcharacter modulo $\mathfrak{q}$ and $f$ a~primitive holomorphic cusp form or a Hecke-Maass cusp formof level $\mathfrak{q}$and trivial nebentypus. We prove the subconvex bound $$L(1/2,f\otimes \chi)\ll \mathfrak{q}^{1/2-1/12+\varepsilon},$$ where the implicit constant depends only on the archimedean parameter of $f$ and $\varepsilon$. The main input is a modifyingtrivial delta methoddeveloped in [1].
Citation
Qingfeng Sun. Hui Wang. "A subconvex bound for twisted $L$-functions." Funct. Approx. Comment. Math. 65 (2) 175 - 189, December 2021. https://doi.org/10.7169/facm/1940
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