论文标题
一个子概标，用于扭曲的$ l $功能
A subconvex bound for twisted $L$-functions
论文作者
论文摘要
令$ \ mathfrak {q}> 2 $为素数，$χ$原始的dirichlet字符modulo $ \ mathfrak {q} $和$ f $ a原始的holomorphic cusp形式或hecke-maass cusp的水平$ \ m m athfrak {q} $ and triv {q} $ and trivial nebentypus。我们证明了subconvex绑定$$ l（1/2，f \ otimesχ）\ ll \ mathfrak {q}^{1/2-1/12+\ varepsilon}，$$，隐式常数仅取决于$ f $ and $ f $ and $ \ varepsilon $的Archimedean参数。主要输入是[1]中开发的一种修改的琐碎三角洲方法。
Let $\mathfrak{q}>2$ be a prime number, $χ$ a primitive Dirichlet character modulo $\mathfrak{q}$ and $f$ a primitive holomorphic cusp form or a Hecke-Maass cusp form of level $\mathfrak{q}$ and trivial nebentypus. We prove the subconvex bound $$ L(1/2,f\otimes χ)\ll \mathfrak{q}^{1/2-1/12+\varepsilon}, $$ where the implicit constant depends only on the archimedean parameter of $f$ and $\varepsilon$. The main input is a modifying trivial delta method developed in [1].
