标题： 关于辛群全局亚瑟包的尖点性 显示英文标题

标题： On cuspidality of global Arthur packets for symplectic groups

摘要： 在[Ar13]中，Arthur基于内表理论对辛群的自守离散谱进行了分类，直至全局Arthur包。 提出一个有趣且基本的问题：哪些全局Arthur包不包含殆简自守表示？ 对此问题的研究可以看作是源自奇异自守形式经典理论的主题的进一步发展。 所获得的结果有助于更好地理解全局Arthur包以及殆简谱局部无分支部分的结构，因此与Sarnak在[Sar05]中提出的广义Ramanujan问题密切相关。 显示英文摘要

摘要： In [Ar13], Arthur classifies the automorphic discrete spectrum of symplectic groups up to global Arthur packets, based on the theory of endoscopy. It is an interesting and basic question to ask: which global Arthur packets contain no cuspidal automorphic representations? The investigation on this question can be regarded as a further development of the topics originated from the classical theory of singular automorphic forms. The results obtained yield a better understanding of global Arthur packets and of the structure of local unramified components of the cuspidal spectrum, and hence are closely related to the generalized Ramanujan problem as posted by Sarnak in [Sar05].