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On quotients of derivatives of L-functions inside the critical strip.
- Source :
-
Journal of Number Theory . Jun2024, Vol. 259, p16-37. 22p. - Publication Year :
- 2024
-
Abstract
- In [9] , 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *L-functions
*MODULAR forms
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 259
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 175849560
- Full Text :
- https://doi.org/10.1016/j.jnt.2023.12.001