$p$-adic $L$-functions for ${\rm GSp}(4)\times {\rm GL}(2)$ II
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917689162727424 |
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| author | Liu, Zheng |
| author_facet | Liu, Zheng |
| contents | We construct four-variable $p$-adic $L$-functions for cuspidal Hida families on ${\rm GSp}(4)\times{\rm GL}(2)$ and prove a complete interpolation formula. The archimedean zeta integrals are computed by using a partial interpolation formula for the four-variable $p$-adic $L$-functions and some previously constructed $p$-adic $L$-functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05847 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $p$-adic $L$-functions for ${\rm GSp}(4)\times {\rm GL}(2)$ II Liu, Zheng Number Theory We construct four-variable $p$-adic $L$-functions for cuspidal Hida families on ${\rm GSp}(4)\times{\rm GL}(2)$ and prove a complete interpolation formula. The archimedean zeta integrals are computed by using a partial interpolation formula for the four-variable $p$-adic $L$-functions and some previously constructed $p$-adic $L$-functions. |
| title | $p$-adic $L$-functions for ${\rm GSp}(4)\times {\rm GL}(2)$ II |
| topic | Number Theory |
| url | https://arxiv.org/abs/2406.05847 |