Averaging quadratically twisted $L$-values and their derivatives
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908428715163648 |
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| author | Huang, Tinghao |
| author_facet | Huang, Tinghao |
| contents | In this paper, we unconditionally establish an asymptotic formula for the product of the quadratically twisted central $L$-value associated to a holomorphic cusp form $f$, and the quadratically twisted central $L$-derivative to a distinct holomorphic cusp form $g$. This result may be viewed as an extension of \cite{Li-MR4768632}, \cite{Kumar.etc-MR4765788} and \cite{zhou2025momentderivativesquadratictwists}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00179 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Averaging quadratically twisted $L$-values and their derivatives Huang, Tinghao Number Theory In this paper, we unconditionally establish an asymptotic formula for the product of the quadratically twisted central $L$-value associated to a holomorphic cusp form $f$, and the quadratically twisted central $L$-derivative to a distinct holomorphic cusp form $g$. This result may be viewed as an extension of \cite{Li-MR4768632}, \cite{Kumar.etc-MR4765788} and \cite{zhou2025momentderivativesquadratictwists}. |
| title | Averaging quadratically twisted $L$-values and their derivatives |
| topic | Number Theory |
| url | https://arxiv.org/abs/2507.00179 |