Trace formula and functional equation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913642173169664 |
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| author | Kwan, Chung-Hang Leung, Wing Hong |
| author_facet | Kwan, Chung-Hang Leung, Wing Hong |
| contents | We present a "beyond-endoscopic" treatment of the functional equation for the standard $L$-function of a holomorphic cusp form with level and nebentypus. We use Petersson's formula and methods from Venkatesh's thesis and "spectral reciprocity". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16921 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Trace formula and functional equation Kwan, Chung-Hang Leung, Wing Hong Number Theory 11F66, 11F72, 11L05, 11F12 We present a "beyond-endoscopic" treatment of the functional equation for the standard $L$-function of a holomorphic cusp form with level and nebentypus. We use Petersson's formula and methods from Venkatesh's thesis and "spectral reciprocity". |
| title | Trace formula and functional equation |
| topic | Number Theory 11F66, 11F72, 11L05, 11F12 |
| url | https://arxiv.org/abs/2410.16921 |