论文标题
$ \ mathrm {gl} _3 $上的$ l $ functions的subconvexity在数字字段上
Subconvexity for $L$-Functions on $\mathrm{GL}_3$ over Number Fields
论文作者
论文摘要
在本文中,在任意数字字段上,我们证明了自dual $ \ mathrm {gl} _3 $ $ $ l $ l $ - f $ -t $ -ASECTIONS的子概率范围,以及自dual $ \ mathrm {gl} _3 _3 \ times _3 \ times \ mathrm {gl} _2 $ l $ l $ l $ l $ - 阿基米德方面。
In this paper, over an arbitrary number field, we prove subconvexity bounds for self-dual $\mathrm{GL}_3$ $L$-functions in the $t$-aspect and for self-dual $\mathrm{GL}_3 \times \mathrm{GL}_2$ $L$-functions in the $\mathrm{GL}_2$ Archimedean aspect.