Triple product integrals and Rankin-Selberg L-functions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910812388458496 |
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| author | Biró, András |
| author_facet | Biró, András |
| contents | We prove a reciprocity formula that relates a spectral average of products of triple product integrals involving automorphic forms of weights $0$ and $1/2$ to the classical Rankin-Selberg integrals for automorphic forms of weight $0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_08913 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Triple product integrals and Rankin-Selberg L-functions Biró, András Number Theory 11F03, 11F37 We prove a reciprocity formula that relates a spectral average of products of triple product integrals involving automorphic forms of weights $0$ and $1/2$ to the classical Rankin-Selberg integrals for automorphic forms of weight $0$. |
| title | Triple product integrals and Rankin-Selberg L-functions |
| topic | Number Theory 11F03, 11F37 |
| url | https://arxiv.org/abs/2209.08913 |