On quotients of derivatives of $L$-functions inside the critical strip
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916235183128576 |
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| author | Lunia, Rashi |
| author_facet | Lunia, Rashi |
| contents | In 2011, Gun, Murty and Rath studied non-vanishing and transcendental nature of special values of a varying class of $L$-functions and their derivatives. This led to a number of works by several authors in different set-ups including studying higher derivatives. However, all these works were focused around the central point of the critical strip. In this article, we extend the study to arbitrary points in the critical strip. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02419 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On quotients of derivatives of $L$-functions inside the critical strip Lunia, Rashi Number Theory 11F11, 11F37, 11F41, 11J86, 33B15 In 2011, Gun, Murty and Rath studied non-vanishing and transcendental nature of special values of a varying class of $L$-functions and their derivatives. This led to a number of works by several authors in different set-ups including studying higher derivatives. However, all these works were focused around the central point of the critical strip. In this article, we extend the study to arbitrary points in the critical strip. |
| title | On quotients of derivatives of $L$-functions inside the critical strip |
| topic | Number Theory 11F11, 11F37, 11F41, 11J86, 33B15 |
| url | https://arxiv.org/abs/2405.02419 |