Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.09125 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909686470541312 |
|---|---|
| author | Wu, Han |
| author_facet | Wu, Han |
| contents | This is a continuation of the adelic version of Kwan's formula. At non-archimedean places we give a bound of the weight function on the mixed moment side, when the weight function on the $\mathrm{PGL}_3 \times \mathrm{PGL}_2$ side is nearly the characteristic function of a short family. Our method works for any tempered representation $Π$ of $\mathrm{PGL}_3$, and reveals the structural reason for the appearance of Katz's hypergeometric sums in a previous joint work with P.Xi. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09125 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a Generalization of Motohashi's Formula: Non-archimedean Weight Functions Wu, Han Number Theory This is a continuation of the adelic version of Kwan's formula. At non-archimedean places we give a bound of the weight function on the mixed moment side, when the weight function on the $\mathrm{PGL}_3 \times \mathrm{PGL}_2$ side is nearly the characteristic function of a short family. Our method works for any tempered representation $Π$ of $\mathrm{PGL}_3$, and reveals the structural reason for the appearance of Katz's hypergeometric sums in a previous joint work with P.Xi. |
| title | On a Generalization of Motohashi's Formula: Non-archimedean Weight Functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2507.09125 |