论文标题
关于$ {\ rm gl} _4 $的cuspidal共同体的增长
On the growth of cuspidal cohomology of ${\rm GL}_4$
论文作者
论文摘要
在本文中，我们建立了$ {\ rm gl} _4（\ Mathbb a _ {\ Mathbb Q}）$ $ {\ rm gl} _4（\ Mathbb Q}）$的cuspidal自同形表示的数量的渐近估计，该估算有助于$ { $ {\ rm gl} _2（\ mathbb a _ {\ mathbb q}）$的级别结构变化。这概括了C. Ambi [2020]关于$ {\ rm gl} _3 $的类似问题的最新工作。
In this article, we establish an asymptotic estimate on the number of cuspidal automorphic representations of ${\rm GL}_4(\mathbb A_{\mathbb Q})$ which contribute to the cuspidal cohomology of ${\rm GL}_4$ and are obtained from symmetric cube transfer of automorphic representations of ${\rm GL}_2(\mathbb A_{\mathbb Q})$ of a given weight and with varying level structure. This generalises the recent work of C. Ambi [2020] about the similar problem for ${\rm GL}_3$.
