论文标题
Shart第二时刻绑定和子峰值(3)$ L $ - 功能
Short second moment bound and Subconvexity for GL(3) $L$-functions
论文作者
论文摘要
令$π$为$ \ mathrm {sl} _3(\ Mathbb {z})$的Hecke cusp表单。我们在短时间间隔$ l(s,π)$的第二钟平均值,以获取子概念估计$$ l(1/2+it,π)\ ll_ {π,\ varepsilon}(1+ | T |)^{3/4-1/8+\ varepsilon}。 $$
Let $π$ be a Hecke cusp form for $\mathrm{SL}_3(\mathbb{Z})$. We bound the second moment average of $L(s,π)$ over a short interval to obtain the subconvexity estimate $$ L(1/2+it, π) \ll_{π, \varepsilon} (1+|t|)^{3/4-1/8+\varepsilon}. $$