圆方法与$L$ -函数- I的界
The circle method and bounds for $L$-functions - I
摘要：
设$f$为任意能级的Hecke-Maass型或全纯本原尖点型，$χ$为导体$M$的本原特征标.对于扭曲$L$ -函数$L(s,f\otimes χ)$，我们建立了$t\in \mathbb R$的混合次凸界$$ L(1/2+it,f\otimesχ)\ll (M(3+|t|))^{1/2-1/18+\varepsilon}, $$.隐含常数仅取决于形式$f$和$\varepsilon$。
英文摘要：
Let $f$ be a Hecke-Maass or holomorphic primitive cusp form of arbitrary level and nebentypus, and let $χ$ be a primitive character of conductor $M$. For the twisted $L$-function $L(s,f\otimes χ)$ we establish the hybrid subconvex bound $$ L(1/2+it,f\otimesχ)\ll (M(3+|t|))^{1/2-1/18+\varepsilon}, $$ for $t\in \mathbb R$. The implied constant depends only on the form $f$ and $\varepsilon$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
