Wu, Han (2019) Deducing Selberg trace formula via Rankin–Selberg method for. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Publis. ISSN 0002-9947
|
Text
1810.09437.pdf Download (475kB) | Preview |
Official URL: http://doi.org/10.1090/tran/7853
Abstract
In the 1980s, Zagier and Jacquet and Zagier tried to derive the Selberg trace formula by applying the Rankin-Selberg method to the automorphic kernel function. Their derivation was incomplete due to a puzzle of the computation of a residue. We solve this puzzle and complete the derivation. The main input is an extension of the theory of regularized integrals invented by Zagier, which is of independent interest.
| Item Type: | Article |
|---|---|
| Additional Information: | Acknowledgements: This paper was prepared while staying at FIM at ETHZ, YMSC at Tsinghua University, Alfred Renyi Institute in Hungary supported by the MTA Renyi Intezet Lenulet Automorphic Research Group, and TAN at EPFL. The author would like to thank all four institutes for their hospitality. |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 29 Oct 2019 16:36 |
| Last Modified: | 29 Oct 2019 16:36 |
| URI: | http://real.mtak.hu/id/eprint/102752 |
Actions (login required)
 |
Edit Item |
