The Ranking-Selberg integral on ${\bf GSp(2)}$ for square free levels
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915963273740288 |
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| author | Kuga, Seiji Tsuzuki, Masao |
| author_facet | Kuga, Seiji Tsuzuki, Masao |
| contents | We explicitly compute the Rankin-Selberg type integral introduced by Piatetski-Shapiro over adeles for vector-valued Siegel cusp forms of square-free levels $Γ_0(N)$. On the way, for particular test functions in the Bessel models of irreducible admissible representations, exact evaluations of the local zeta-integrals are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05583 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Ranking-Selberg integral on ${\bf GSp(2)}$ for square free levels Kuga, Seiji Tsuzuki, Masao Number Theory 11F46, 11F67 We explicitly compute the Rankin-Selberg type integral introduced by Piatetski-Shapiro over adeles for vector-valued Siegel cusp forms of square-free levels $Γ_0(N)$. On the way, for particular test functions in the Bessel models of irreducible admissible representations, exact evaluations of the local zeta-integrals are given. |
| title | The Ranking-Selberg integral on ${\bf GSp(2)}$ for square free levels |
| topic | Number Theory 11F46, 11F67 |
| url | https://arxiv.org/abs/2407.05583 |