A note on Poisson summation for GL(2)
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866912899806527488 |
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| author | Wong, Tian An |
| author_facet | Wong, Tian An |
| contents | Using analytic number theory techniques, Altuğ showed that the contribution of the trivial representation to the Arthur-Selberg trace formula for GL(2) over $\Q$ could be cancelled by applying a modified Poisson summation formula to the regular elliptic contribution. Drawing on recent works, we re-examine these methods from an adelic perspective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_02273 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on Poisson summation for GL(2) Wong, Tian An Number Theory Representation Theory Using analytic number theory techniques, Altuğ showed that the contribution of the trivial representation to the Arthur-Selberg trace formula for GL(2) over $\Q$ could be cancelled by applying a modified Poisson summation formula to the regular elliptic contribution. Drawing on recent works, we re-examine these methods from an adelic perspective. |
| title | A note on Poisson summation for GL(2) |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2510.02273 |