Work

Fourier coefficients for automorphic forms on quasisplit classical groups

Year: 2014

Type: preprint

Abstract: In [J14], a conjecture was proposed on a relation between the global Arthur parameters and the structure of Fourier coefficients of the automorphic representations in the corresponding global Arthur packets. In this paper, we discuss the recent progress on this conjecture and certain problems which lead to better understanding of Fourier coefficients of automorphic forms. At the end, we extend a useful technical lemma to a few versions, which are more convenient for future applications.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1412.7553

Authors: Jiang, Dihua, Liu, Baiying

Institutions: University of Minnesota, University of Utah

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: Unitary representations of affine Hecke algebras and reductive p-adic groups, Fourier Coefficients, L-functions, and Endoscopy Correspondences of Automorphic Forms

OpenAlex ID: W4300866609

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Cited by: 2

Related to: 10