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Holomorphy of adjoint L-functions for GL(n): n ≤ 4

Yang, Liyang (2021) Holomorphy of adjoint L-functions for GL(n): n ≤ 4. Mathematische Annalen . ISSN 0025-5831. doi:10.1007/s00208-021-02189-4. (In Press)

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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.

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Yang, Liyang0000-0001-6988-2927
Additional Information:© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021. Received 09 April 2020; Revised 18 April 2021; Accepted 20 April 2021; Published 28 April 2021. I am very grateful to my advisor Dinakar Ramakrishnan for instructive discussions and helpful comments. I would like to thank Ashay Burungale, Li Cai, Hervé 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 École polytechnique fédérale de Lausanne in Switzerland and I would like to thank them for their hospitality.
Record Number:CaltechAUTHORS:20210506-090801120
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Official Citation:Yang, L. Holomorphy of adjoint L-functions for GL(n): n ≤ 4. Math. Ann. (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108984
Deposited By: Tony Diaz
Deposited On:06 May 2021 18:33
Last Modified:06 May 2021 18:33

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