Published December 2021
| Submitted
Journal Article
Open
Holomorphy of adjoint L-functions for GL(n): n ≤ 4
- Creators
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Yang, Liyang
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.
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.Attached Files
Submitted - 1903.09881.pdf
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1903.09881.pdf
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Additional details
- Eprint ID
- 108984
- Resolver ID
- CaltechAUTHORS:20210506-090801120
- Created
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2021-05-06Created from EPrint's datestamp field
- Updated
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2021-11-03Created from EPrint's last_modified field