Spherical characters in families: The unitary Gan–Gross–Prasad case

Abstract We consider the variation of spherical characters in families. We formulate conjectures for the rationality and meromorphic property of spherical characters. As an example, we establish these conjectures in the unitary Gan–Gross–Prasad case.

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Publication Details

Journal
Forum Mathematicum
Published
2025-02-28
DOI
https://doi.org/10.1515/forum-2022-0263
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00

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article

Spherical characters in families: The unitary Gan–Gross–Prasad case

Yangyu Fan, Li Cai
Forum Mathematicum
Advanced Algebra and Geometry
article

Spherical characters in families: The unitary Gan–Gross–Prasad case

Yangyu Fan, Li Cai
article en

Abstract

Abstract We consider the variation of spherical characters in families. We formulate conjectures for the rationality and meromorphic property of spherical characters. As an example, we establish these conjectures in the unitary Gan–Gross–Prasad case.

Forum MathematicumVol. 38(1)
Beijing Institute of Technology (CN), Capital Normal University (CN)
National Natural Science Foundation of China, National Key Research and Development Program of China
Openalex Percentile: Top 92%
Advanced Algebra and Geometry
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