论文标题
希尔伯特模块化形式的对称功率功能
Symmetric power functoriality for Hilbert modular forms
论文作者
论文摘要
让$ f $成为一个完全真实的领域。我们证明了$ \ mathrm {gl} _2（\ Mathbf {a} _f）$与Hilbert模块化形式的常规重量相关的所有对称功率提升的存在。
Let $F$ be a totally real field. We prove the existence of all symmetric power liftings of those cuspidal automorphic representations of $\mathrm{GL}_2(\mathbf{A}_F)$ associated to Hilbert modular forms of regular weight.
