@article{86a6d9e79b804d6899b8a70d67a3cff6,
title = "Holomorphy of adjoint L-functions for GL(n): n≤ 4",
abstract = "We show entireness of complete adjoint L-functions associated to any cuspidal representations of GL(3) or GL(4) over an arbitrary number field. Twisted cases are also investigated.",
author = "Liyang Yang",
note = "Funding Information: I am very grateful to my advisor Dinakar Ramakrishnan for instructive discussions and helpful comments. I would like to thank Ashay Burungale, Li Cai, Herv? Jacquet, Dihua Jiang, Simon Marshall, Kimball Martin, Yiannis Sakellaridis, Chen Wan and Xinwen Zhu for their precise comments and useful suggestions. Part of this paper was revised during my visit to ?cole polytechnique f?d?rale de Lausanne in Switzerland and I would like to thank them for their hospitality. Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",
year = "2021",
month = dec,
doi = "10.1007/s00208-021-02189-4",
language = "English (US)",
volume = "381",
pages = "1745--1805",
journal = "Mathematische Annalen",
issn = "0025-5831",
publisher = "Springer New York",
number = "3-4",
}