Large values of quadratic Dirichlet $L$-functions near the central point
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915448661999616 |
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| author | Dong, Zikang Li, Zhonghua Song, Yutong Zhao, Shengbo |
| author_facet | Dong, Zikang Li, Zhonghua Song, Yutong Zhao, Shengbo |
| contents | In this paper, we investigate the conditional large values of the quadratic Dirichlet $L$-functions near the central point $s=1/2$. When $σ$ closes to $1/2$ within a suitable range, we show that $L(σ, χ_d)$ have the conditional large values of the similar order of magnitude as $L(1/2, χ_d)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12205 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large values of quadratic Dirichlet $L$-functions near the central point Dong, Zikang Li, Zhonghua Song, Yutong Zhao, Shengbo Number Theory 11M06, 11M26, 11N37 In this paper, we investigate the conditional large values of the quadratic Dirichlet $L$-functions near the central point $s=1/2$. When $σ$ closes to $1/2$ within a suitable range, we show that $L(σ, χ_d)$ have the conditional large values of the similar order of magnitude as $L(1/2, χ_d)$. |
| title | Large values of quadratic Dirichlet $L$-functions near the central point |
| topic | Number Theory 11M06, 11M26, 11N37 |
| url | https://arxiv.org/abs/2508.12205 |