Character sum, reciprocity and Voronoi formula
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915109157208064 |
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| author | Kwan, Chung-Hang Leung, Wing Hong |
| author_facet | Kwan, Chung-Hang Leung, Wing Hong |
| contents | We prove a novel four-variable character sum identity which serves as a twisted, non-archimedean counterpart to Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we present a new, spectral proof of the Voronoi formula for classical modular forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11193 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Character sum, reciprocity and Voronoi formula Kwan, Chung-Hang Leung, Wing Hong Number Theory 11F11, 11F12, 11F66, 11F72, 11L05 We prove a novel four-variable character sum identity which serves as a twisted, non-archimedean counterpart to Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we present a new, spectral proof of the Voronoi formula for classical modular forms. |
| title | Character sum, reciprocity and Voronoi formula |
| topic | Number Theory 11F11, 11F12, 11F66, 11F72, 11L05 |
| url | https://arxiv.org/abs/2410.11193 |