Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.06315 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908816810967040 |
|---|---|
| author | Chen, Shih-Yu Cheng, Yao |
| author_facet | Chen, Shih-Yu Cheng, Yao |
| contents | In the literature, two main approaches have been used to establish explicit formulas or propagation formulas for Whittaker functions over Archimedean local fields: one based on Jacquet integrals, and the other on the analysis of systems of partial differential equations. In this paper, we introduce a third approach via explicit theta correspondence. As an example, we derive new cases of explicit formulas for Whittaker functions on ${\rm GL}_n(\mathbb{C})$ and compute the associated Asai local zeta integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06315 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Whittaker functions on ${\rm GL}_n$ via theta lifting Chen, Shih-Yu Cheng, Yao Number Theory In the literature, two main approaches have been used to establish explicit formulas or propagation formulas for Whittaker functions over Archimedean local fields: one based on Jacquet integrals, and the other on the analysis of systems of partial differential equations. In this paper, we introduce a third approach via explicit theta correspondence. As an example, we derive new cases of explicit formulas for Whittaker functions on ${\rm GL}_n(\mathbb{C})$ and compute the associated Asai local zeta integrals. |
| title | Whittaker functions on ${\rm GL}_n$ via theta lifting |
| topic | Number Theory |
| url | https://arxiv.org/abs/2602.06315 |