Abstract
In [16], 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.
| Original language | English (US) |
|---|---|
| Title of host publication | Contemporary Mathematics |
| Publisher | American Mathematical Society |
| Pages | 187-208 |
| Number of pages | 22 |
| DOIs | |
| State | Published - 2016 |
Publication series
| Name | Contemporary Mathematics |
|---|---|
| Volume | 664 |
| ISSN (Print) | 0271-4132 |
| ISSN (Electronic) | 1098-3627 |
Bibliographical note
Publisher Copyright:© 2016 American Mathematical Society.
Keywords
- Arthur parameters
- Automorphic forms
- Fourier coefficients
- Unipotent orbits