Moment of derivatives of L-functions for two distinct newforms
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909540309532672 |
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| author | Choi, Seokhyun Kim, Beomho Kim, Hansol Kim, Hojin Lee, Wonwoong |
| author_facet | Choi, Seokhyun Kim, Beomho Kim, Hansol Kim, Hojin Lee, Wonwoong |
| contents | We establish an unconditional result concerning the asymptotic formula for the moment of derivatives of $L$-functions $L(s, f \otimes χ_{8d})L(s, g \otimes χ_{8d})$ over quadratic twists, where $f$ and $g$ are distinct cuspidal newforms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07630 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moment of derivatives of L-functions for two distinct newforms Choi, Seokhyun Kim, Beomho Kim, Hansol Kim, Hojin Lee, Wonwoong Number Theory 11F66, 11F11, 11N37 We establish an unconditional result concerning the asymptotic formula for the moment of derivatives of $L$-functions $L(s, f \otimes χ_{8d})L(s, g \otimes χ_{8d})$ over quadratic twists, where $f$ and $g$ are distinct cuspidal newforms. |
| title | Moment of derivatives of L-functions for two distinct newforms |
| topic | Number Theory 11F66, 11F11, 11N37 |
| url | https://arxiv.org/abs/2411.07630 |