On Deligne's conjecture for symmetric fourth L-functions of Hilbert modular forms
On Deligne's conjecture for symmetric fourth L-functions of Hilbert modular forms
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DOI：
10.1016/j.aim.2023.108860
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发表时间：
2021-01
影响因子：
1.7
通讯作者：
Shih-Yu Chen
中科院分区：
文献类型：
--
作者：
Shih-Yu Chen
我们证明了一个自守模拟的Deligne猜想对称第四L-函数的Hilbert模形式。基于Grobner和Lin [18]结果的推广和细化，我们将Morimoto [41]的结果扩展到CM域上GL 2和GL 3的上同调不可约本质共轭自对偶尖点自守表示。
We prove an automorphic analogue of Deligne's conjecture for symmetric fourth L-functions of Hilbert modular forms. We extend the result of Morimoto [41] based on generalization and refinement of the results of Grobner and Lin [18] to cohomological irreducible essentially conjugate self-dual cuspidal automorphic representations of GL 2 and GL 3 over CM-fields.