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On the fine expansion
of the unipotent contribution of the Guo–Jacquet trace
formula
Pierre-Henri Chaudouard |
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Vol. 305 (2020), No. 2, 539–561
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DOI: 10.2140/pjm.2020.305.539
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Abstract |
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For a useful class of functions (containing functions whose one finite component is essentially a matrix coefficient of a supercuspidal representation), we establish three results about the unipotent contribution of the Guo–Jacquet relative trace formula for the pair . First we get a fine expansion in terms of global nilpotent integrals. Second we express these nilpotent integrals in terms of zeta integrals. Finally we prove that they satisfy certain homogeneity properties. The proof is based on a new kind of truncation introduced in a previous article. |
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Keywords
Guo–Jacquet trace formula, relative trace formula,
unipotent contribution, orbital integrals, distinction
problems, periods, automorphic forms
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Mathematical Subject Classification 2010
Primary: 11F70
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Milestones
Received: 23 August 2019
Revised: 25 October 2019
Accepted: 23 November 2019
Published: 29 April 2020
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Authors |
| Pierre-Henri Chaudouard | |
| Université de Paris Institut de Mathématiques de Jussieu - Paris Rive Gauche F-75013 Paris France |
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