A zero-density estimate for $L$-functions associated with $\rm GL(3)$ Hecke--Maass cusp forms
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929613123354624 |
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| author | Sun, Qingfeng Wang, Hui |
| author_facet | Sun, Qingfeng Wang, Hui |
| contents | In this paper, we establish an asymptotic formula for the twisted second moment of $L$-functions associated with Hecke--Maass cusp forms for $\rm SL(3,\mathbb{Z})$, and further deduce a weighted zero-density estimate for these $L$-functions in the spectral aspect which may have important applications in other problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02416 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A zero-density estimate for $L$-functions associated with $\rm GL(3)$ Hecke--Maass cusp forms Sun, Qingfeng Wang, Hui Number Theory 11F12, 11F66, 11F67, 11F72 In this paper, we establish an asymptotic formula for the twisted second moment of $L$-functions associated with Hecke--Maass cusp forms for $\rm SL(3,\mathbb{Z})$, and further deduce a weighted zero-density estimate for these $L$-functions in the spectral aspect which may have important applications in other problems. |
| title | A zero-density estimate for $L$-functions associated with $\rm GL(3)$ Hecke--Maass cusp forms |
| topic | Number Theory 11F12, 11F66, 11F67, 11F72 |
| url | https://arxiv.org/abs/2412.02416 |