On quotients of derivatives of $L$-functions inside the critical strip
Autor: | Lunia, Rashi |
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Rok vydání: | 2024 |
Předmět: | |
Zdroj: | Journal of Number Theory, vol. 259, 2024, pp. 16-37 |
Druh dokumentu: | Working Paper |
DOI: | 10.1016/j.jnt.2023.12.001 |
Popis: | 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. |
Databáze: | arXiv |
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