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On quotients of derivatives of L-functions inside the critical strip.

Authors :
Lunia, Rashi
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

Subjects :
*L-functions
*MODULAR forms

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